{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "翻译自：Machine Learning for Finance（第四章）\n",
    "![book](./img/ml_finance.jpg)\n",
    "链接：https://book.douban.com/subject/30220489/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "时间序列是一种具有时间维度的数据形式，最具标志性的就是金融数据。虽然单个股票报价不是时间序列，但将您通过将每天获得的报价拿来并排列它们，就会得到更有趣的时间序列。几乎所有与金融有关的媒体材料迟早都会报道股价差距，而不是给定时刻的价格清单，而是随着时间的推移价格的发展。\n",
    "您经常会听到财务评论员讨论价格走势：“Apple Inc.上涨5％。” 但是，这是什么意思？您所听到的绝对价值要少得多，例如，“Apple Inc.的股价为137.74美元。” 同样，这是什么意思？之所以会这样，是因为市场参与者对未来的发展趋势很感兴趣，并且他们试图从过去的发展趋势中推断出这些未来的预测。\n",
    "![1.1](./img/1.1.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "大多数预测都涉及查看一段时间内的过去发展情况。时间序列数据集的概念是与预测相关的重要元素。例如，农民在预测农作物产量时将查看时间序列数据集。因此，在统计，计量经济学和工程学领域中已经开发出了大量与时间序列相关的知识和工具。\n",
    "\n",
    "在本章中，我们将研究一些今天仍然非常相关的经典工具。然后，我们将学习神经网络如何处理时间序列，以及深度学习模型如何表达不确定性。\n",
    "\n",
    "在我们着眼于时间序列之前，我需要设定您对本章的期望。你们中许多人可能已经读过本章，以了解有关股票市场的预测，但是我需要警告您，本章与股票市场的预测无关，其他章节也不会涉及。\n",
    "经济理论表明，市场有些有效。有效市场假说指出，所有公开可用的信息都包含在股票价格中。这扩展到有关如何处理信息的信息，例如“预测算法”。\n",
    "\n",
    "如果这本书提出一种可以预测股市价格并带来丰厚回报的算法，那么许多投资者只会简单地实现该算法。由于这些算法都会在预期价格变化的情况下进行买卖，因此它们会改变当前的价格，从而破坏了使用该算法将获得的优势。因此，提出的算法不适用于将来的读者。\n",
    "\n",
    "相反，本章将使用维基百科的流量数据。我们的目标是预测特定Wikipedia页面的访问量。我们可以通过Wikipediatrend CRAN包获取Wikipedia流量数据。\n",
    "\n",
    "我们在这里使用的数据集是Google提供的大约145,000个Wikipedia页面的流量数据。数据可以从Kaggle获得。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "数据可以从以下位置获取：\n",
    "\n",
    "- https://www.kaggle.com/c/web-traffic-time-series-forecasting\n",
    "\n",
    "- https://www.kaggle.com/muonneutrino/wikipedia-traffic-data-exploratio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [pandas的可视化与准备工作](#content)\n",
    "\n",
    "在开始训练之前获得数据整体概述通常是一个好主意。针对我们从Kaggle获得的数据，您可以通过运行以下操作实现此目标："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "\n",
    "from scipy.fftpack import fft"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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       "                                                Page  2015-07-01  2015-07-02  \\\n",
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      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train = pd.read_csv(\"./data/train_1.csv\").fillna(0)\n",
    "train.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "页面列中的数据包含页面名称，维基百科页面的语言，访问设备的类型和访问代理。\n",
    "其他列包含该日期与该页面的点击量。\n",
    "\n",
    "因此，在上表中，第一行包含通过所有访问方式在中文版的Wikipedia上朝鲜流行乐队2NE1的页面，但仅适用于被归类为爬虫代理商的数据。也就是说，流量是通过爬虫访问的数据量。尽管大多数时间序列工作都集中在与时间相关的局部特征上，但我们可以通过提供对全局特征的访问来丰富所有模型。\n",
    "因此，我们希望将页面字符串拆分为更小，更有用的功能。我们可以通过运行以下代码来实现此目的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def parse_page(page):\n",
    "    x = page.split('_')\n",
    "    return ' '.join(x[:-3]), x[-3], x[-2], x[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们用下划线将字符串分开。页面名称中还可以包含下划线，因此我们将最后三个字段分开，然后将其余字段合并在一起以获取本文的主题。\n",
    "如下面的代码所示，倒数第二个元素是子URL，例如，en.wikipedia.org。倒数第二个元素是访问权限，最后一个元素是代理："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('2NE1', 'zh.wikipedia.org', 'all-access', 'spider')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "parse_page(train.Page[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "当我们将此功能应用于训练集中的每个页面条目时，我们将获得一个元组列表，然后我们可以将其合并到一个新的DataFrame中，如下面的代码所示："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "l = list(train.Page.apply(parse_page))\n",
    "df = pd.DataFrame(l)\n",
    "df.columns = ['Subject','Sub_Page','Access','Agent']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "最后，我们必须在删除原始页面列之前将此新的DataFrame添加回我们的原始DataFrame中，我们可以通过运行以下操作来做到这一点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = pd.concat([train, df], axis = 1)\n",
    "del train['Page']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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       "      <td>3C</td>\n",
       "      <td>zh.wikipedia.org</td>\n",
       "      <td>all-access</td>\n",
       "      <td>spider</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>35.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>94.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>26.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>...</td>\n",
       "      <td>16.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>17.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>4minute</td>\n",
       "      <td>zh.wikipedia.org</td>\n",
       "      <td>all-access</td>\n",
       "      <td>spider</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>3.0</td>\n",
       "      <td>11.0</td>\n",
       "      <td>27.0</td>\n",
       "      <td>13.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>52 Hz I Love You</td>\n",
       "      <td>zh.wikipedia.org</td>\n",
       "      <td>all-access</td>\n",
       "      <td>spider</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 554 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   2015-07-01  2015-07-02  2015-07-03  2015-07-04  2015-07-05  2015-07-06  \\\n",
       "0        18.0        11.0         5.0        13.0        14.0         9.0   \n",
       "1        11.0        14.0        15.0        18.0        11.0        13.0   \n",
       "2         1.0         0.0         1.0         1.0         0.0         4.0   \n",
       "3        35.0        13.0        10.0        94.0         4.0        26.0   \n",
       "4         0.0         0.0         0.0         0.0         0.0         0.0   \n",
       "\n",
       "   2015-07-07  2015-07-08  2015-07-09  2015-07-10  ...  2016-12-26  \\\n",
       "0         9.0        22.0        26.0        24.0  ...        14.0   \n",
       "1        22.0        11.0        10.0         4.0  ...         9.0   \n",
       "2         0.0         3.0         4.0         4.0  ...         4.0   \n",
       "3        14.0         9.0        11.0        16.0  ...        16.0   \n",
       "4         0.0         0.0         0.0         0.0  ...         3.0   \n",
       "\n",
       "   2016-12-27  2016-12-28  2016-12-29  2016-12-30  2016-12-31  \\\n",
       "0        20.0        22.0        19.0        18.0        20.0   \n",
       "1        30.0        52.0        45.0        26.0        20.0   \n",
       "2         4.0         6.0         3.0         4.0        17.0   \n",
       "3        11.0        17.0        19.0        10.0        11.0   \n",
       "4        11.0        27.0        13.0        36.0        10.0   \n",
       "\n",
       "            Subject          Sub_Page      Access   Agent  \n",
       "0              2NE1  zh.wikipedia.org  all-access  spider  \n",
       "1               2PM  zh.wikipedia.org  all-access  spider  \n",
       "2                3C  zh.wikipedia.org  all-access  spider  \n",
       "3           4minute  zh.wikipedia.org  all-access  spider  \n",
       "4  52 Hz I Love You  zh.wikipedia.org  all-access  spider  \n",
       "\n",
       "[5 rows x 554 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "运行此代码的结果是，我们成功完成了数据集的加载。这意味着我们现在可以继续探索它。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## [汇总全局特征统计](#content)\n",
    "\n",
    "经过所有这些艰苦的工作，我们现在可以创建一些有关全局特征的汇总统计信息。\n",
    "\n",
    "使用pandas value_counts()函数可以轻松绘制全局特征的分布图。通过运行以下代码，我们将获得Wikipedia数据集的条形图输出："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.Sub_Page.value_counts().plot(kind='bar')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "维基百科具有不同语言的子页面，我们可以看到我们的数据集包含来自英语（en），日语（ja），德语（de），法语（fr），中文（zh），俄语（ru）和西班牙语的页面 （es）维基百科站点。\n",
    "\n",
    "在我们制作的条形图中，您可能还注意到了两个基于非国家/地区的Wikipedia网站。\n",
    "commons.wikimedia.org 和 www.mediawiki.org 都用于托管媒体文件，例如图像。\n",
    "\n",
    "让我们再次运行该命令，这次重点关注访问类型："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.Access.value_counts().plot(kind='bar', color={\"r\", \"g\", \"b\"})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有两种可能的访问方法：移动和桌面。还有第三个选项全访问，它结合了移动和桌面访问的统计信息。\n",
    "\n",
    "然后，我们可以通过运行以下代码来按代理绘制记录的分布图："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.Agent.value_counts().plot(kind='bar')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "时间序列不仅适用于爬虫，而且适用于所有其他类型的访问。在经典统计建模中，下一步将是分析每个全局特征的影响并围绕它们构建模型。但是，如果有足够的数据和计算能力可用，这不是必需的。\n",
    "\n",
    "神经网络能够发现全局特征本身的影响，并根据它们之间的相互作用来创建新特征。对于全局功能，只有两个实际的考虑需要解决：\n",
    "\n",
    "- 特征分布是否偏斜？如果是这种情况，那么可能只有少数具有全局特征的实例，我们的模型可能会过度适合于该全局特征。想象一下，在数据集中只有很少的中文维基百科的“文章”。该算法可能会基于特征区分太多，然后过度拟合了少数中文条目。我们的分布相对均匀，因此我们不必为此担心。\n",
    "\n",
    "- 可以轻松编码特征吗？某些全局功能不能一键编码。想象一下，我们获得了带有时间序列的Wikipedia文章的全文。不能立即使用此功能，因为必须进行一些繁重的预处理才能使用它。在我们的案例中，有一些相对简单的类别可以进行一键编码。但是，主题名称不能一键编码，因为主题名称过多。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## [检查样本时间序列](#content)\n",
    "\n",
    "要检查数据集的全局特征，我们必须查看一些示例时间序列，以了解我们可能面临的挑战。在本部分中，我们将为美国音乐人Twenty One Pilot的英语语言页面绘制视图。\n",
    "\n",
    "绘制实际的网页浏览量以及10天的滑动平均值。我们可以通过运行以下代码来做到这一点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "idx = 39457\n",
    "window = 10\n",
    "data = train.iloc[idx,0:-4]\n",
    "name = train.iloc[idx, -4]\n",
    "days = [r for r in range(data.shape[0])]\n",
    "fig, ax = plt.subplots(figsize=(10,7))\n",
    "plt.ylabel('Views per Page')\n",
    "plt.xlabel('Day')\n",
    "plt.title(name)\n",
    "\n",
    "ax.plot(days,data.values,color='grey')\n",
    "ax.plot(np.convolve(data, \n",
    "                    np.ones((window,))/window, \n",
    "                    mode='valid'),color='black')\n",
    "ax.set_yscale('log')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此代码段中正在进行很多工作，值得逐步进行分析。首先，我们定义要绘制的行。Twenty One Pilots是训练数据集中的第39,457行。之后我们定义了华东平均值的窗口大小。\n",
    "\n",
    "我们使用pandas iloc工具将页面视图数据和名称与整体数据集分开。这使我们可以按行和列坐标索引数据。计算天数而不是显示所有测量日期将使该图更易于阅读，因此我们将为X轴创建一个天数计数器。\n",
    "\n",
    "接下来，我们设置图并通过设置figsize确保其具有所需的大小。我们还定义了轴标签和标题。接下来，我们绘制实际的页面浏览量。我们的X坐标是天，Y坐标是页面浏览量。\n",
    "\n",
    "为了计算均值，我们将使用卷积运算。此卷积操作将创建一个矢量除以窗口大小（在本例中为10）的矢量。卷积操作将矢量在页面视图上滑动，将10页视图与1/10相乘，然后将所得的矢量求和。这将创建一个华东平均值，其窗口大小为10。我们将该平均值绘制为黑色。最后，我们指定要对Y轴使用对数刻度。\n",
    "\n",
    "您可以看到，即使我们使用了对数轴，在我们刚刚生成的Twenty One Pilots图中也会出现一些相当大的峰值。在某些日子里，观看次数猛增到几天前的10倍。因此，很快就很清楚，一个好的模型必须能够应对这种极端的问题。\n",
    "\n",
    "在我们继续之前，值得指出的是，随着页面浏览量通常随着时间的增加，全球趋势也很明显。\n",
    "\n",
    "从好的方面来说，让我们对所有语言的Twenty One Pilots页面浏览进行绘制。我们可以通过运行以下代码来做到这一点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fa7793343d0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jvPnmmzz33HNhOV9cOmTW2qnW2quzsrKiPRRFURRFiR286pCFi5NPPpm3336bPXv2ALB//342b96M1+vlggsu4M4772Tx4sVhO19cOmSKoiiKogRAQ5ZhY8iQIdx1112cdtppeL1ekpOTeeCBBzjvvPPwesWJrOmeNQUVZIqiKIrSXKhW9iIGQ5bWwoz/g+EXQ5dh0R5NvUyePJnJkydX2xZOV8wfFWSKoiiK0lyI9ZBlZSnMfQTSMuNCkB1K4jKHTFEURVGUAMR62QvHtfMXjgoQp4JMWycpiqIoSgCq5ZDFYMjSEWKxGE6NMnEpyHSWpaIoiqIEIOYdMp8g0y4CtYhLQaaEkSmXwsqPoj0KRVEUJRzEeg6ZVYcsGCrIWjqrPoI3Lo32KBRFUZRwYGO8l2VVyFJzyGqigkxRFEVRmgvVyl7EoiCrrL6McR555BEGDx7MpZdG3rjQshctGa+3/n0URVGU+CFuQpYxKBYD8MQTT/Dpp5/Sp0+fqm2VlZUkJYVfPqkga8lYFWSKoijNimpJ/TEoeuJoluW1117Lhg0bOOecc9iyZQuTJ09m06ZNdOjQgddeey3s54tLQabNxcOE1Ri+oihKs6KZ5pDt+sc/KFu5KqxDSR08iC5//WvQ55988kmmTZvG559/zmOPPcbUqVP5+uuvSU9PD+s4HOIyh0zLXoQJTapUFEVpXvg7ZBXF0RtHMOJ4luU555wTMTEGceqQKWFCQ5aKoijNC/8b7bKC6I0jGI4Qa6B7V5eTdaho3bp1RI8flw6ZEiY0ZKkoitK8sLEuyOLXIYs0KshaMhqyVBRFaV44ZS9Ss6AsP7pjCYTVOmTB0JBlS8a/Xo2iKIoS/zhCJz0rxh2yGJxwEIBNmzYBcNttt0X8XOqQtWQ0ZKkoitK8cHKD09rGuCDTkGVNVJC1ZNQyVhRFaV44N9rpbaGyFCpjrDishiyDEpeCzBgzyRjzVF5eXrSHEt/oLEtFUZTmhb9DBlBeGL2xBCLOWicdSuJSkGkdsjChIUtFUZTmheM8pfmuj6UxZlw444vForVRJi4FmRIm1CFTFEVpXjjf6+k+hyzW8sg0hywoKshaMhrDVxRFaV5UhSx9DlmsCbJgOWSl+bB90aEfTwyhgqwlow6ZoihK86Kq7EU7WcaaIAvmkC16AZ47Ezwt1zlTQdaSUUGmKIrSvKiZ1B9zgsxJ6q+RQ1aWD54y8MTYrFAf1lq83sheM1WQtWQ0ZKkoitK8cEKCVYIsxpL6gzUXd5L8Y6hg7KZNmxg8eDDXX389o0aNIjExseq5t99+myuvvDKs59NK/S0ZnWWpKIrSvIj5pH7f+GoaAvU0Hf/qzTXkbg1vCY8OPdpw7MUD6txn9erVPP/88zzxxBO0adMmrOeviTpkLRkNWSqKojQvHKGT0hpMYgwKsiDCy3kcY+UwevXqxfjx4w/JudQha8loyFJRFKV54dxom0RIy5TZi7FEsJClE6oMkkNWn5MVKVq3bl21boypWi8tLQ37ueLSIdNK/WFCHTJFUZTmRZUgS5A8slgtDBs0hyx2Z1l27tyZlStX4vV6ee+998J+/LgUZFqpP0yoIFMURWleOIInIUHyyEoORHc8NamaZRkshyw2Z1kC3HvvvUycOJGTTjqJrl27hv34GrJsyWjIUlEUpXnhH7JMbxd7gswZX83ZlDGYQ9a7d2+WL19e9fjCCy/kwgsvjNj54tIhU8KEzrJUFEVpXjjf6yYhNgVZsObi3tgre3GoUUHWkvEPWUa44J2iKIpyCHC+1xNi1CHzzyGz1t3uqbvsRUtABVlLxj9k2YLvShRFUZoN3hoOWenB2Lrh9o/MVDMFAocsrb9oiyMaM24VZC0Z/3+MGJ7ZoiiKooRIzRwy64XyGKpF5n+t8RdfntplL9LS0ti3b1/ciTJrLfv27SMtLa1Br9Ok/pZMNbtYHTJFUZS4x7/shdNgvOQApMVIVQJ/t85fnAXILcvJyWHbtm3s3bv3EA0ufKSlpZGTk9Og16gga8l41SFTFEVpVviXvXD6WZYcgHa9ozakagSLzARwyJKTk+nTp88hGlj00ZBlS8YGuVNRFEVR4pOaIUuIrcT+QK4YBM0ha0moIGvJ+N+ptOB/AkVRlGZDzbIXEGOCrB6HrAWbAyrIWjI6y1JRFKV5UbPsBcSYIAvmkMV+pf5Io4KsJVMtZKlFYhVFUeKeamUvfDlkxTEkyIKlysRgpf5DTVwKMm0uHib8/zFa8D+BoihKs+DAJtgyT9ZNIiSlSmJ/4a6oDqsa/jf/Hs0h8ycuBZk2Fw8TGrJUFEVpPnz1AKz7TNaN7/Leticc3BK9MdUkWMjSEWct+FoUl4JMCRPVHLKWm0ipKIrSLCjzKwCbEKOCLFjZC3XIVJC1aLRSv6IoTcVavaGLFSpLfSvG3da2lwiyWKl2X98sSxVkSotEQ5aKojSVpa/DA4OhsizaI1EqSnwrfuKrbU+oKIbifVEZUi2CCTKvhixVkLVkNKlfUZSmkrsWivbAvvXRHsmhZ8cSWP1ptEfhUuWQ+dG2pywPbj60YwlGAyr1tzRUkLVkqv1jaNkLRanF9kXw8R9iJ9wTizh5S3tXRXcc0eCLe2Hqb6M9Cpcqh8yPKkEWI3lkQR0yDVmqIGvJVGvy2nL/CRQlKMvehgVPx1ZhzVijSpCtju44osG+dVJSIlbCtYEcsna9ZJm7Dgr3wvRbAgu3Q0WgMKW1foVhW+61SAVZS0ZDlopSN04YrnBPdMcRy5QXyjK3hQkyT6XU/QLI2+ZuL9wLpflRGVJAoZWaAdn9YOd3MPtemPeYW6ssGtgAdcgCOWUtEBVkLRmdZakodbNvnSyL9kZ3HLFMmU98tCSHzOuBPT+435t5W2VZUQqPHAH39nDrgR1KAjlkAN1GweY5sPgleewIyWgQKGTpbwi0YHNABVlLJlgsX1EUuTA4idAqyILjhCz3rWs55S++fgD+e5z72HHIDmyCct/7sTkKLlRFMEF2hITdvR5ISIIDUUzw93qoKssRaGalCjKlRaIhS6WhLHgWHhsX7VEcGg5ucS8YRbnRHUssU1YgVeE95dF1XkKhssydoFFRCgufa1z+18qPqj8+6HPIDmx0t+1b27gxNoXKILlh3UfJcsQl0K53dP9O1gNJabJelcivIUtQQday0ZCl0lB2fS+5Qv4VwZsr/mUc1CELTlkBdBoq67GcR5a/Ax4cCi9OguL9sOxN+Oh3sOiFRhzMb9ZtRlc3ZLnfJ8i6j2l4GZADm5s2m9frCV4yImcsnPg3OPn/oi/IvJWQlOJb912DqjlkWvZCaYlYnWWpNBCnuGTB7uiO41Cw33dBTUyVOltKYMoKXQcmVktfeCrhg1/JWDfPgflPwprp8tych6GyASLA65Xaa6Muh98sgawebghw/wZIzYQeR4og85/JXpO5j8K8J2SfbYvg4RGw4v3G/451OX0JiXD8HyGjcwwIMn+HLFAOWcs1B1SQtWS82stSaSBFPkFWuCu64zgU7FsHqVnQ/jANWQbD64GKIsjsLj9bvxX3KRj5OyI7nl3L4aUf1S5TMv0vsH4WnHkvdBkOG76A9Z9Duz6Qvx22zA39HAU7pPJ9tyPks5EzBrYtELF3YKMIng79JHxYEOT3tRb+9zcZ18c3wbdPAbZpRWaDJfTXpF1vKD0YvVIu1gtJqbIeMIdMHTKlJVJt+nGM1NFRYpsqhywMgmz7IigvavpxIsW+9ZB9GLTpqCHLYDih69Q2cqFfMw2ePS3wDd7C56XF0q5lkRvPN0+I2JpyKbzxUxE+Bbsk93HMz2H0ldBzPGydL0LylNskyX3D7NCOv/sH+PAGWe8wQJaDzpbvz/UzJWTZ/jApMwGQuybwcQp2yjKlDSx6Hr5/AzCwbmbdrlpdhFpbrMNAWe7+oXHnaSreSkjJkPUyX8mUaOeQlRXAo6Phu9cP/bn9UEHWkrFewMgXUsnBaI9GiQccQVbYxJBl4R54+iQpEVCa1/RxOcx/Cr5/MzzH2rdeLqytO6kgC0aVIMuAI6+BtCxJZg8Uelv8oizDVR5j5Uewe4UImG99xXsd12fzHFj5IWxfDAuekZvPo34tz/U40j3G4HOg+2jYGESQlebD+9fDlvmwbSE8eYw4bSYBOg72HW88pLeXgqv718vxugyX79X1nwc+riPUJr8seV3H3gRn3AvFuZKn2RhCdchyxshy6/zGnaepeD1yk5Pcyu0e4I1yyLK8SBzxiuJDf24/kqJ6diW6eD2SW5DeTiuRK/Xj9UKJLxwVyCFb/7l82adm1H+sbQtlWbgbHhomdZImPexWFa+LzfNg6Wtwyu3Qqr273VMJs+6U0Nnwi+s/Tl1UlEqidvufiOjI3ynbktNg5VRo0wV6jG3aOZoD/oJsyI9g0CT4z1Hw1b9h6PmQ4Lvnt1byq6D6TMTGUlkGb/8cOvSHs/4Fn/xBvsN2fg+tskVE710Jz5wk+w84E7L7ynqf4yTPa+KDMr7DToAv/wWz7oIt37jjPPEW+OE9WDdDhF2PsZL7dN0ceb51tiwTk+Ds++Hj30P/02D89bKtz/EiCk+9A4yBxS9LI/ZBZ0OiL6m942Do6xtj4R6YdrPUL+s2UrbNewI+v1uOe9Hzdb8noTpkrdpDdn/YuiC0/cONtxISkqWlk1NWxhPlkKXj1Ke0PvTn9iMuHTJjzCRjzFN5eWG8s26JWA8YR5DVkfehKCB5J85EkJoO2cGt8PK5MPex0I61bYE4CD+bBgPPlgveG5eK6DmwCdbOgOXvytJh33p44ih4/gwpcPnda9WPuWupFCnduzKw41tXblNNDmwCrFzEB5wm+UArp0J5Mbx7Nbx3tfZ/3bvGrdLvhKASEuDY38OeFeKSbV0gIco1010ndN96ee3SKY0/987vJUy4e7nkYoF8JvK3wYQb4VffiEsF8vjiF93Xtu4Af9kKwy6Ux2N/AZk5IsqKcuWmIqMLfHC9iLFBE+UztfglGHiWhCTbH1Z9PIdfAL9fA5e8IWIMRKAe2CQO3Xevw4e/lkkP0/8qQi01U87j0KaTjHn9LHfbsrfkPV7xQf3V/0N1yAB6jINt30anR6v1GQFte7mTIZxcMpMQnZCl44wltzr05/YjLgWZtXaqtfbqrKysaA8lvrFen0PWXh0ypW48FW64Emo7ZNt8d9vBQj812b4QOh8OvY6C8/4D5z8lF+4Pb4BnToFXL4S3fyZLkIv5S+fKec/8p+TBfP+GezxrYa1fZXTHgXNYMx3+1Q92Lg1tfE6F/uy+0Ps4Sf7++kEpkVBRLC7Kyg9DO1ZzZN1n8PhYXzI61V3RoefL3+ftn8Gzp0iY7/XJsq3LcBFkX9wD710T+my/ilIJdTozHL/3ibnMHMlFBLf0RFefu3Thc3Dh8+JQOUnkgWjTCa78CM5/Gq6bCxe/BD9+XcKvvY6Bi18WUWcS4IjLgh8nKcV1BEEE32Eninv3/nXQ+1i4do5c9Dd+Ke6eMdWP0e9kCSXuXSOO167vpWSF9cCmr6vv6/XA8nfcEF9D+lP2HC//z9GYFev1ihHQrrc4ZNa6Dlly6+jUxCz3CbKU6AoyDVm2ZLxe+ZJJb1e9F5ui+LNlvtRuOvt+eZzc2k1KdnAE0LYFYv/7W/+z/ykX8Kv+J489FeKIjbjE3WfgGTDiJxKKzMyRvJo5D4sQK8qFz/8h7sfP/yehI+uFaX8WB23fetj8tThY7frIl/zW+dD/FPf4a6bLRe2bJ0UA1odT8qJ9X7nInnanOGPT/yJhq/T2Es4ael7D3svmgpOnt+wtWfoLssQkuGo6LHoRWneUMG/+Dhj+Ywkpr/zQLZq6dAoc9ydfSO8lER+dh9Q+3ye/hyWvSDiyNE8cFZMgSfnv/kLcqINbYMAZEpIEETwd+of2+7TrVT1cntEZfrUA0jLl73/qHXDS3yExOfT3KKU1XPYuzHkIVn0kNx2ZXeVYa6ZL2YyaDLsYvn0GnpwAR98gv+dRv4L3fyXOWe4a+T2dVJPZ98H5z8DwixrmkB12oizXz4JOgyFvu+T45Yyr/n9THwc2iXBNbxf6a7yVMv52vcTRLjngumIpraIjyCp8Icvk6IYsVZC1ZJyQZav2kZ35pC3YznsAACAASURBVISGp0KEx4QbIb1t5M/n9UoozhFPRfsgOb32XeLGLyU8tMgX9ul/ioRQ5j0BR10vNclWvA9J6XK8LfOg3ynuORa9IKUFCnbD53fJxbm80M2dcZj4AIy8RJKkk1Kg51Hw/JnwnwlSZuPI69y8rUETRZC9fon7ZT7hRhh5mTgv62fBSbe4x3bcheVvw+l3V889C8S+ddCqg/t3GDwJfjVfRGKXYbB5ruTMWVvb5WjOWCt/+1WfSHK8kxheM28wvR0c89var8/u57rxya2lUv7aGSLQSvPkb3/VdHf/nd9L6HDXMgltp2bIz6avJK/q8PNFpAyfLKUmwklG5+qPGyLGHBISJGH/2JvcbeN+KT+B6DwEfrMYXrlA8vBAXLrDjocf3nVd6oQkN8y37jMRZI5DdsVH7gzQYLTtIfusmykh2xcniuvbpgvctEIEk4O1IpzSakSkrIVHRsl15MbvQ8v/hOohS5AbqCqHLD06IcuqHDINWSrRwnrlYqI5ZLHBqo+lR96Mvzf8tUunwG1ZDcuTWvQcPDBEErOn3wL/OgweGOQWq3TY5Qvzbfe5YKfeIYJoxt/h3WvgwSEiuI64TJJ1N37pvnb7InkOYMlL4oKs+0xcpsNOqD6e5HRxN5wq3k7oqXCXuAWn3+3u27YHdB4mX95dR8IFz8q4Og6QpOntC92aVwW7pYL8sIskYXj5O/L71TWba98GNwm86pw94ex/S+mEXkdLsdiGVmOPd6beCG9dIe7UmfeJi3T6PyArJ7TXDz1PSj2AzDAszZfPSNcRsm33cnjtxyL+rYVPbxYxltEVznkUzv+vOLW/mi9/74REEd7hFmPRpE0nuOJDOO6PcPRvZEbikHNdMfbrRTDpEVlPSpebD6/XdcgyutYWk4Hoe7LcqPzvbyLGRl8p/2v35MBzZ8DXD0mo+PVL4N6etaMoBza5pZPm/zf038/rMwLa95HHuetccZkcJYfMCVmqQ6ZEjapZlm0lL8aZRaZEB+eutCFFSMuL4ct/usnvuWskPwTgzcsl2frcxwO/dt0sSdTfMh9WfyLT9dPbS1iu5IDrMO30m4afliV30ZMegcfGSB7X2KskP+awE6S20ZyHYfl7kDNakusTU0T8z7pLhJjXIyGT+u5GU1qJS1aaD6fcUT0/B2DgmbB7GUx6SIp0Ogye5AuNfQRHXi3hTIDx18n4lr4uzs7a/0nIa/TPJNG6z/ESOgUJWdZ08PzpebQs5z8pYblxv6zfdYsn1kyHJS/DMb+TzwWIcF/8ooTaJj7kfl471uPG+NO2B/xhrUwKad8HfvqefAYHnilO6tQbYc2n8rNxthRsPfvf4uLUpDk7k+nt4KS/uY8HnikdIzr0F/GZ3VeEW/52ec92LHYdslC/w4+8BhY+K3mAQ8+Hs+4X17e8SGaxfnar/H/vWSH771hSXXjvWOyuN2TmrLdSHL4OA0VQbl8EvSf4xt4qOkWYK2LDIVNB1pKpmmXpu5CUHIDkrtEdU0smwRcScWauhcK8xyXZ3MG/0KoTpgsUVrNWZlmB5Lfs3yAXgGP/AG9cJl/Sx94kX8wHN8OR10qoaMQl8oWfnAZXTJUvV2eKPkCfY+Uimr8N1h2UUMdZ94tAKs2TfJi+J0m7mVC4YipSKy+AmX/0DdKyx1+MgYRiuo6U1jSjLpf3ITUTuowQ8fXpH+UikJkjpQoK90pB0aWvww2LRUAW7Kw9k67aOfpD/9NhwdPy2Bg4/k+h/U7xwHevSk7exq/gppVyoXIcmh7jq4e0GkpKK9cd6XWUu73HeHe91wRxMjsPg1FXNP5czYW0TDjnEcjsJo+Ngf6nyv/UtL+IeO7ky71LSg/tmO37wIl/lZu5cx6RkOz18+Tzn5gMb10peZLdR0vO5+4VcrPjsH2x3GD1muDWEwsFZzJZYpL8/25bILM+QVzyaBQpL9dZlkq0sX5J/aAzLaONM/W6IdXra/7NnMfF++UCWrzPravkz4FNbrHTRb76Rl2PkC/6I68V12LBMxJGBUmWPulv1cN4XQ6vLsZAwiAAp90Fv/oWfvKWuBvnPgkn3yoNjnsfE3q+SWKyW0agJmmZ4hzUxBg49XbI2wLzHhNR0fMoOc64X8oYBk2Ea2ZDm87wxT8kX6w0X1zFNdPkODVDljXP8ZM34OrZ0HEQrGjAjEuvB5a+0bD+iYeaA5skfFN6UJpwgyvIWmVH5pwdBkie2ORXpSZdrwni7jYmd6s5MuLH7oQFh7QsCQMve9udaNOQKMcxv4OffeLmAKa0dt/vk28V53vSwzIjck+Nyv5bfKVFsvuKIPMvoVFXSRgnqR9E7O363v3Oy8oRkenUt6v2Oq/kHJY14IY1VJzvXq1DpkQNr+9OxQm1aB5ZdGmMIKt5N+nY/blr3W1OSQp/nGTswy90tzniqvcx0O9UyS355I/ypdnn+NDG0/NIcZmO+pXMKBtwmoiXQWeJ4xbI6YoEh50gVdhn3ycJ432Ole3GSJPlH78q9ah+Ph2O/7MU3Tzvv5Ks/85VknBc3+9sjLxnR/xUQqd7VoY2tpUfSh0z/7Id9VFZDu9dB/cPjHxjd2slN+6Iy6Q0iVPvzclPjJQgS0iAS16DwRPFgfzZJ25umRKc8ddL/pjjlCeFKe2kfR8pB9JlGHQeKp/v+f+F588Sh3n7QrkhauubLVnqq/23bibc2QFm3hG4zpmTQwYyq9ZT7oY/nb/3ngDlOLYvhI9+57auCiflRRKhiLL4V0HWkvEvDAvqkEUbxzZ3lqFQc6q743o5ZQUw8sW4Znr1/dZMk9ync5+Q0F1GVxEoIEJj8ity99xtpFvRPFTqcpYOJWfdL1P6+50iOTKBaNcLTvyLOA/DL/Ili98JV80IPSds2IXyPzTlJ7DkVUl+3vJN8P1XfCDL1Z+E/rus+EBKghTuql44tLGsnxW8hVHhbgmbZ/eTfMQ9q+TCWuWQNaNcueZAl8OlJIdDU8LJweg0WGYef/onaUv18nki/EZfKZNdoKrIq/3+HUpyE2WWaKA2UM4sSxBBBtJ9A/wEWYA+m84NQaC2XE2lojjq7hhoDlnLpmqWpe8LtiEz9JTw4ySWNiSHrKKmINsjy9y1csc38QFJpp/7KAw43X3N2hlSXTwpVabZ13TlktMk4T2eyegM13xZ/37+NKR2VdV5usAlU+CdX0iJBoebVro5Pw7lRbDmf74+h7Pk8e4fpLn18X8MfHyvVxzN5NYSdt34pZQHaSzWygUV4G973VmtIO7Fyqmynt0XsFCWJ219Ih2yVBrPMb+Fvic2rDhsQxh4lnQyAAnzt+kEY64Sce6kHxzYCFu+IffVD8n9oSO9T80lffWntV1OJ6kfxEXPzJFOCCCJ/smtJV9t1SfyPVTVWspXjNp6ZQZ1zf+tplAeG4JMHbKWjH8vS1CHLNo4zlhZQegtTWoKqaJcmeU45yFJSh91uSTib5nntq5Z95mIPidBNylVXY+m0nM8/HaZuGtpvtplNVs7AXz1gAjvU24Xd/Oz2+DZU6U+2+4Vtfcv2gd3tJPJAzljJBS78cumtbzx77Kw+EV5/PJ5Mtt2/n+lsjyIQ+aI09w1IshMYu16VEps0HWEO8M63HQfJZNYMJI3ee3XMOZn8pwzQWfFBzDtZsryRGxVpA+SCUOeSve7B9xK/Q45vlm8PY6U/qCdBkt48r1rZWKBYxT4h+o3zw1t3Ac2wX196m9oX1EU9YR+UEHWsrG+f4yU1jKzRnPIoouTQ+atqP4FVhfFNaaIF+2VO0uQcgEgzpi30g11LXgaMrrVrgOmNA1jYMJv4M+bJRl6zsPw2e2wa7nUdJpyqeT5DJ8MR/9aKtc7rYfAbQfkT67fhaTrcDlu/ra6Z7UV75d8s0AN4MEtYwAyaWPe4/LZePOnUicOZMZjVo40oQYJgRfvE3esOZebUIJzziPwkzfF1fInvZ248U7eVxtJfbA546SG3L8HSB2zj38vN4zlBW5jdoDM7rIc8iNZ9hwvOWplefI9OP0WuQEp3CWzpROSQy9kvnuFXNdqtlKrSXlx1EtegIYsWzbWI7Msq4rDxrlDlr9TLioXPi/1juINf7eraG9o1fr9+0uC5P8UH4Cxv3QT2XPGSVhg9r8klLnhC2lNpLPXIsekh2HG/4kA+/oB2da2p2+W51/l8dn/lt6FPcZJAdTFL0tZDqckBEjTdoeBZ0ktKoCd3wWfqTrtLyLuug6X2ms1cfoXHn6BlJbY8o1bdb9wt5QTOe0u2SezuzgHuWvlYqrhypZLRpfqzdAdjJHPha/dmOk5DlZ9Dj2Pg97lUtts0FEya9v5/PT2my169G8kWjPa57id8GfJr0xMlQkeX/5LrlUFO+UmISExcG5aIJyc2vrKcpQXRb0oLKgga9l4/ZIr09vHfw7Zlrkyo3Dr/PgUZBV+yfx520LLZSqqIcicLx7/foCJSXDWPyXpfM8PcmEfG6R1ixIesvvKTM4DmyVc3KG/W2DVIbUNDL9Y1k+9E547Tdo+OT0/QUp3APxpo4SVK0ol/2bHd66j4E9ZgZv0HKzA5p4VMqFjyLkiyCpL4OwHJHy6bkb1grgJCVKOYuf34qirIFMC0bpDVY6XSZE6aNbrhXMfFXer5IAIs9n3STTGv3ZgZlf5fnJIzZDcz8py+cwnJMnrrFcKSmd28/WmDaFtmRNBOLi57v0qimLis60hy5aMtW4sP72dVFWPZ5w2NvHaKL28SKrggzgg9VFZLrZ+IDofXv3xoLPhsnek7colr0sNLyXytOsl9aNqirGadBwg5Qu2flvdqT64VWqkOTl+yWlSAHTHksDH2f2DO/M2UPV0a0XMdRwk5U1Aynt0ORwufFZm1PY5ofpr+p4konLfOs01VALjfC4SkiBFym5YpzWZMfK80/qs26jgtQUdUjMkrGmMOGZOZ4yMLlL7rDhX8sMcrA2cV+nclByoR5CVF2sOmRJlrMe9w2jVPv5zyPatk2W8CrKKYrHk2/WRKtj14dQScxjzc3e90+Da+/c7pXn1/Gtu9JoAWLcEAEDe1tpub7cjJMfm499LXSb/C5GTvNz+MNhfQ5Dt/kFqy+1eLu5aq/Zw/Tdw6VvyfFqWfIZqljgZPFG+K4r2xISLoMQgzueiVTYm2ZcK4alRHHbMz+Bn0+CCZxp+/L4nyNIkSG3D5NbiJjsFaF8+F545ufbrikJ1yHSWpRJtqoUs28Z/DlncO2S+xNLuo+oXZIV74MWJsp7oK1vQuiNc+rbkZDiVt5X4wXHRplwiBXlBHLKababGXiVOxIJnpHK5000BRJAl+Zq013TIPvyNdC4AmXkLItyTUuseV7dRIvASkt3XKYo/jiBLb49JlGuKrQxQrb/XUY1LJ+nptNgy8lk88165Id3yjVTu3/CF3KTU7BDg5JDl7wjeGePtn8uNjzpkSlRxWieBm0PWlOn00cRatxhqvAqyCl9iaffRMpOuYDd4KgLn9jlJrafdLblAIF8o/U+F0+48dGNWwkdympQiMQky+/KH9+Wz7BTedOg6QsoO/OxT6DhYmsE79adyV0u+Wvu+coPlpCFUlosz1rqjtLNKbRP6uIyBX86S2aM9jwzP76o0L1r5ikq3yoYk302+E7IMB70myESZU2+Xx0PPkxvR1Z/AWr+cSydK4lA1C92K6KpJab7kUYIr3qKICrKWjPVUzyHzlEWusGCkKd4vU6QTkgP/48UDjkPWbZQ8XjdDbPhHR9VO3ndqVo38iXtxjQHLXWkiF70It+yWsOS7V0vCfZdhtffL6g69joYz75OJHM+dAf+ZIDXmOvR3Z2o6F6gdSyS37OwHJOTTUNLb6edLCU5VyLIdxpcfFtAhayzGSFcAp5tIaoa4wCs/hLmPuPvtrDH7sigXuo+R9Q1f1D7ubr+OAP6N06OECrKWjH/IMt77WTpVnDsPlZ5qgZrTxjoVvsTSrsNFKH/8exFepXlulWyHPSul3VGr9pDiCLIGuB5KbJKQKJXzz39awpIDz4ZhFwff/7Dj4YS/yAXLCbl0PlxCPCYBlr8rNcZWfSTP9To68r+D0vJwrh+tsjE+h8zWzCELN6OvFAd5xxIpdZSYCruWus9bK4Ks9zFS5Hjlh7WP4dQz+90Kd8ZzFNGyFy0Za/1Cln7V+rNyojemxuK0EOo4UGYo7ltXfWp1POC070hpLTPpdi+DAWfK32bxi3Dy312XYs8PbuK+ky+mDkbzoUN/qfyf3rb+PqIn/Fl+ALYtkpuS5DSZmfbN4/IDMGii6zAoSjhxPlfp7aEqh6wisuccPElC93nbpPj13EdkBrFDWb4U2W7dQfad84iUdjn5VrmB2bsGlrwkYw5nG6YmoA5ZS8YpDAvx38/SqeE14Ay5U1r0QlSH0yj823d094nJwRMlLFlRLA3BQcLKe1eLaAM/h0wFWbOidXbDG0XnjBYxBm4IZtTlcMJfxUVQlEjgP8vSKWkRzpBlMDoPdXv09pogZWOcm/P8nbJs3RGOukF6fX79oDv56/XJ4pBl942Z7hMqyFoy/iFLp+p3fT2/YhUn961tT2m8/N3rtfOuYhGvV1qDfPeatDdy2nf0O1VE8oAzJcyU0VXCTyAV3StLYeCZ8tgRYhqyVPwZe5WUGZj0CJxwc/Um4ooSTtr2lBqKXYdDosgKW3PGY6TpfazkQW/7Vh6v+0yWPcbJzc2pvslO2xZIW7H9G6SDidOVIgZQQdaS8Z9l2banTK/f/HV0x9RYKn2CLDkdxl0j/5jL3ozumAJRWe6WF8nfCV/8Q0oRvO9rceO07xhyDvxpg+uS9DxKKqxbC3Mflce9Jsi+TrhZmz4r/iQmS5mBGLn7V5oxaVnwh9WSaO/M1K8M4yzLUOh1tOTeLnxObsZXToXOw6RMBkgx5NRMEWwbv5RtP341cg3ZG4EKspaM/yxLkA/0ig9g9j/DO2X5UOA4ZElp0jao2yhxkmKtjMdnt8J9veXu7OXzJFm/3ykw5ip53r8Suv+FNKu71NLZu1ra6Yy4xH1+wBlw8UuSP6coihJNPF4AbMUhvoakZcIRl8EP78FDw2DrN3Jj65CQIDUety2AjbMhrW3gGcxRRAVZS8Y/ZAlu8b3P74btC6Mzpsbi5JA5OVhjfyGJ7wufjd6Y/Fk7Ax4/Eub/Vx6/cgHsXQnH/gEumQITH4Crv4Ch5wd+fWaOhCmdPoVO43CQUNSQH6kToihK1HFClbYiwkn9gTjnEbhunuRPHvcnOPqG6s/njJNSFxu/gh5HNjxHM8LElCAzxrQ2xiwyxkyM9lhaBP6zLAGGXShTiaF2PZdYx0nkTJbGtoz8CRx2Anx2R3WXLH+HVHY+FBTugadOlCTSlVNh7ypxJdsfJg4ZwOgrJLQEMis0WJ5PVndZLn1dQsvt+kR+/IqiKA3FK9+3tiJIZfxI03kInP9fOOkW93rgkDNWUnUObo7JWfgRFWTGmOeMMXuMMctrbD/DGLPaGLPOGPNnv6duBmIw8aeZ4j/LEqR8wsSHpOqyfz2XeKDKIfP9AxojocCyPKnjBVL1/sljYeYdh2ZMG2bDjsWw4XNp6+Ew8UHoMEDs8ppV2IOR6RNkBzZJ8qq6YYqixCKOQ1YeJUFWFzlj3PUYFGSRrkP2AvAY8JKzwRiTCDwOnApsAxYYYz4EugErgLQIj0lxsN7alq0xMlNmZ5wJsspSEZeJfg5Tmy6yLNwt9Zy2LZBWGpvnRn48G7+CTV/J+s6lkpCfliVfVjnj4Iqp8v6Hin9tOP9wpaIoSgxhq3LIohCyrI9W7SG7v7TZ6zYy2qOpRUQFmbX2S2NM7xqbxwHrrLUbAIwxU4AfAW2A1sAQoMQY84m1ta9YxpirgasBevYM0V2IBQp2S0mDWGr67K3hkDl0GQ7zHofKsvobD8cKFSWSP+bvHGV0lmXBLkl4XztDHu/5AcqLIle3a810eM2v6vOyd0R8/ehx6DpSPgcpDWxk26qDiE1PuThkiqIosYhXLtveWHTIQLpbWC9kdIn2SGoRjUr93QH/ZoPbgCOttb8GMMZcCeQGEmMA1tqngKcAxowZE2NT6Org3wOgXW+4MUTnqWifiKGGNAFuKDVnWTp0Hy0Vjnd8Fz/NhCuKZYalP/4O2c6lkn+VlC4lMnZ8B70nhH8c1sKnf6oxtiJ5n3sf45aoaCgJCW416bY9mjZGRVGUCGF9giwmQ5YgdcditGdzNJL6AyW/VAkra+0L1tqPDuF4Ik+hr4v8gU2hFyt9+Vz43y0RGxIQOGQJbl2WLfMie/5wUlHqzrB08HfIPvi1iKWLfdHzpa9V3cmFlaK98nce83N57FTT73Fk48WYw5HXyqxMRVGUWMXj5JDFYMgSJM/Yv7xQDBENQbYN8L/FzwF2RGEch44di9315e/Uv7/XI82jnRYPdfHOL+C1yY0bl9cbOGTZppM0Y93yTWjHWTkV7uwEJQcbN45wUFHstoxxSM0UkZa7RlpkjPk5DDgNjrwOlrwC370S/nHkrpHloInwtz0y2xOqJ5M2lvHXwaifNv04iqIoEcIJbsVkDlmMEw1BtgDob4zpY4xJAX4MBGjD3ozYvliET0Y3WDej/v0LdkrIsHBP3ftVlsOyt9wehw0lWMgSxCXbMi+4i1TpZ0d/9W+pjO9UP44GFSW1pzgbA206i2DEus7fGffI32LDF+EfR+5aWXboLyHnET+RXoLH3hT+cymKooSJksJyykvCUMzVE+Mhyxgm0mUvXgfmAQONMduMMVdZayuBXwPTgZXAm9baHxp43EnGmKfy8vLCP+hIsGOxtG0YeAZsnld/FfyDW2RZVI8gc2bxQeNi4tYbvHxCz6Oh9CBsne82aXUo2gf39YJlb8vjtLayjITACZXKktohS5DEzdKDIjwdl8oYyY3b+q24kbsb9PGrm9y1kqeW6ZsV2Tobznm06eFKRVGUCPLcH77m5b83PU3FhlD24rWVr7GtYFuTz9XciKggs9ZeYq3taq1NttbmWGuf9W3/xFo7wFrb11p7dyOOO9Vae3VWVpz07tuzSrrS9z4GygvqLylxYLMsSw5Ud6JqstbPbctr4IfbWl8ifJBZlI6b9PwZ8MzJ1ceRu1pe+81/fOPdJMt1nzUuL2vpFPj26Ya/zp+KktpJ/eA23O59TPVZlT2OhLyt8PyZ8J+jZWZkONi3VsK9CTFVc1lRFKVeSgvDEGasKgwb+FgllSXc8+09fLSheaWKhwO9akSaihK58Gf3d8sV+DtbgXAcMpAk8aD7bXbX87YG3y8QeVulYGrHQYGfdxqyAuRvr5775gjG7Qul4OnBzTKD9OBmWPxiw8ZhLcy6C6b/1Z380BgqgjhkR98Ax9wEk1+uvt0RnFvny3LeY407r6cSyn1FaSvLJVetQ7/GHUtRFCXe8dTtkJV7ZHtpZekhG1K8oIIs3FjrVoYH2L8RsJDdV5LlOwwMQZD5Ca3C3cH3K9glQg/gYAMF2Y7vZNltVODnjZEWPSBia8HTktP22DhfpXsDiakw41YJfZ7wVxGcM++QMKCnon63LHcdfHGviENPOSx6IbSxf/u05K35U1FSO6kfpObMKbdKUVZ/uo6Eya/CL2bCqXdI/ttXD0BRbmhjcHjtIvi3r6n33Icl/2/ETxp2DEVRlChSWe6pWvdUNG32eX1lLyq84pyVelSQ1UQFWbiZ/yTc21N6JgLsWyfLbJ9r0udYmb3oqcMaPrjFDb/V5ZAV7pFqwyah4Q7ZjiWQkCSh1GBc/gH85E3pb7l9ETxzioQrC3ZARlcYep4rLjsOkP1K9sPqT+Ff/WDqb2ofszTfXf/k9zD7XlnvfLg0Aq/rfQHJX/vf32H2v+RY5cXwyBGwf33tpP66MAYGT5S8siOvk1mRM2+HR0a5fSbrI3cdrJ8FZfmST/f5PfKeDDgt9HEoiqJEmdIiN6+58GAThVJ9gsz3HV9SGZu1wKJJXAqymE7qX+GbMOo4UFWCrK8sex8D5YXu84Eo3AOdBvvWgzhk1spzmd1FHO3f2LBx7lgi5wjkKjlk94UBp8Pgc+Txwc1ua6KsHCnD0LojHPVrcZz6HC/PvXGpJNIve8s91pb58O41cG8PCeuBCBoQZ+3k/xN3aWU9E26/eVwS+CtL5FiPj3MFVKCQZSgkpcDFL8MVH0mVvA9uqP681yMicM8qd1vhXpjzoPv4/eugfR+Y9EjjxqAoihIlyordG+HC/WVNOlZVUn+QHDLHIVNBVpu4FGRRT+pfP0v6Ia7/HPK2V3/OKTi3axnM/qe4LglJbsukXsfI0nGWAoX1ivdBR0eQBZlpWXJASmNkdJESC8vfhnt61h32m/+U1Cwr3AObvg69BU92X+m/2PMomPSwbKssEXfuj+vg9Lt9JSY6uq9p1cF1+Za9Dc+dBt9PkcfbF0m4NX8bnP4P6evY71Ro10fGCPD9WzLW+f+FVy8W8fbt0zD3URjyI/c8/s5goKT+UElIEPdywm9h89fwwkR44zJ5buOXMPcRmPOw+/vc309qmTlj8ZRLzbG0zMaPQVEUJQpUE2QHmuqQ+ZL66wtZag5ZLaLROin+efk8d733sXCl32wRpzjqzu/c2YejLnefb9NRxNamr8Td+uB6+M0SaOvry+n1Stgvs5uUk9izIvAYCnb5jtcJLnxeku4/+QOs+lhCh4FY9qY02J55u4g5p5p8KPzsE8C4v1NKkJ6cF70gTlJyOnx2qzhJH98EOWPhvP/CE0dJaYh0n3DtcaSIOWNg3NUw/S8iKqfeCAnJbo21jV+KCMzoCmf9G3pNkPEYI7NN104PXsKjIQw8U94fRzDPuFWEF8DqjyVxf+kUd/8TbxH3r3AX9D2p6edXFEU5xPiHLAsONM0hw88hs9ZianwvO0n96pDVRgVZQ3GEkMPu5dUf5/vKT2z9VnKLjv4NnHZn9X16HyNJ8utnyeONX8IRPjem9KAkybfKhpGXwvz/29pqugAAIABJREFUwPE3S3Nsf5xQZpvO4sqN+6XMGAxWXb+i1C23seQV6HuyOGuhkpgsy+y+cNb9EsoMxNDzYCjurMzvp8gkh+Nvltdm95Uwbu5aSM2SRuYOR1wKn98NH/9BJgxc/TkseVX2XzsdTrlN2gclp8OR17ivS82Q5x2x2BQ6DpLJDHnbRPzNeUi2t+sDBzZKjuCmr0X0HvVreQ+7DIMdldBlRNPPryiKcogpLXIdsqImCjLr8Yv6VFRASkq159UhC44KsoaybaEsj/ipCK4VH8gMx+RWIj4ObBKhUeybrdc1wEW6z7EiyPyP6QiykgOybJUNwy+WRPeFz8GZ91U/RpUg8+tY33GQ5G2V5tcOne1cKmE1hxP+0qBfuwpjRPzVR9teslz8kuSd9fI18s7uJ45WZYnMbkzy+2dNyxLR9ckfYMi5MuHgjH+Iy7byQxFBgXpvdj5clsFcu4ZgDBzzW/mbTrhRZm/uWSmi691fwIy/y35Dz3cF7en/ECGttccURYlDynwOWavMlGrhy0bhl4bjLa8gsYYgqyp7obMsa6GCrKFsXyihtLP+JS7Pig/ENVn+jiSlA0y4QWprQXUHyKHvyVIaYfQVMPs+V+SB5I+BCLLWHSQkunZGHYKsk7vNaWT9r74yO7LvifK4osStt3X8n2VSQY+xjX8PQsEpmZG7BvocBym+hPsO/UVcZfWEcdfUft2Yq2R8A89yt7XpCGOvCn6uLofDJVOg19HhGfvYX1R/nNVdlpe+DT+8J/lxfY5zn+84IDznVRRFiQKlxRUkJBjatEulrIntk5ykfgBbXga0rva8OmTBiUtBZoyZBEzq1y8KBTh3LoXOQyRs1vlwaTE07zG5SDt0PlyE2K7v3dmV/qS2gfN8Ve5zxsGX/4QFz8CIS/wEmS/Hqt8pMO1mmUnYtrcIq57jpThrSoY7WQCgk6/Iq6ccPvotdBoqRUrnPyUzALP7w4mNdMYair9QHHaR3xh9ovGUWwPP8ExIgGN+1/DzDTyz4a9pKEmpMOLHkT+PoijKIaSsuJLU1kmkpCdRVtzEfpZ+IctAif2OICuuLG7aeZohIcdYjDGt69/r0BDVWZYHt0g+EYh4uOJDSVa/bg6M/5Vsz+oBP/sUfvNd4BCbP6N+KiUjPv69JLw7eVCtsmXZ/1RZzn0UlrwkrYyWvyMzFbuNrJ7I3ra3W2H/wCZJQp/zsIQH96yA/oewPpYxMgNx3DUS3nUYfA789H04/IJDNxZFURQlKGVFFaS1Tia1VVLTG4xbP0FWVjsfzalDpg5Zbep1yIwxRwPPAG2AnsaYEcA11trrIz24mMNaSfYecIa7LTHZdU1Ou1NESBdfTlNqm/qPmZUDv5wlYcnXLoZpf5btjiDL7ivJ4/Mek1mZIKUgdi+XtkD+JCTADYvluSePgYFnw95VUnYjd7Ur7g4VF79Ue1tSihtKVRRFUaJOaVEFqa2SSE1PanrI0s8h8wYQZOVebZ0UjFBClg8CpwMfAlhrlxpjjqv7Jc2UolyoLHVLVNQkIRF6Htnw4xoj1d2PuAyW+Hou+jfCPvVOyVVzam5t+1aW3ccEPlaXYfCrBW6T6/Wz4OuHwpdjpSiKojQbKso8pKQlkpIeBofM45dDVhY8ZFnuLcfj9ZBYXxSpBRFSyNJaW7Mvjyfgjs2R8iJ33RFEWTmROde4q911/1BkQoIUHQU4+Va3AGpOAEHm0HGAO+uv70kSWk1KDe94FUVRlLinssJLYnIiqa2SqCz34qlsfD9La627Xh7AIfOb7a8zLasTiiDb6gtbWmNMijHmD8DKCI8rNlg9TfokOq1+8nw1xiIlyLoGmJHpMPpKOOxEKYXxuxUy4y+jS/D9FUVRFCUEPBVeklISSEmXepNNcsk8Hkyq3PzXldQPWhy2JqGELK8FHga6A9uA/wG/iuSgYoaOAyX/6sVzpKxClSDrEblz/nYZVAYozJfZDS5/3318qPPBFEVRlGZJZbmHpOQEUtMlfFhWUkl6Rko9rwqM9XpJSE/HU1YWMIfMSeoHzSOrSb0OmbU211p7qbW2s7W2k7X2MmvtvkMxuGAcsubi7ftIn8W0LHj5XNgyTwrApreL3Dnb9mxYBX1FURQlpthasJV/L/w3eWWRuUYVlhdy+aeXs3j34rAcr7LCS1JyIimtwuCQeb2YVulA4BwyJ6kf1CGrSSizLB8JsDkPWGit/SD8Q6ofa+1UYOqYMWNCKBnfRLL7wuUfwOPjpKBpj/Hh6ZmoKIqiNDuKK4o5610pbD2w/UAmHjYx7OdYtX8VS/Ys4YppV7Dg0gWkJQWo6dgAPBVeElMSSE0XSdCUmZbW6yEhzSfIAuSQ+Ycs1SGrTig5ZGnASGCt72c40B64yhjzUATHFju06yXJ9Dnj4KLnoz0aRVGUmMHr8VbrhdjS2VXs9jsuLC+MyDl2Fu2sWp+5ZWaTj1dZ4SUpKYEUnyArb0pxWI+ELKHuOmSgSf01CUWQ9QNOstY+aq19FDgFGAycBxzCSqNR5qjr4RczJJdLURRFAWD+hxt49vdfNb1cQjMhvyy/ar2gvCAi59heuB2A9KR05u6Y26RjeTxerNeSlJJAaqumO2R4vZh0cewC5pBpUn9QQhFk3anejKo10M1a6wGa1hZeURRFiWu2rToAwN4tkREf8UZ+eX7A9XCyvXA7ndI7cVzOcczbMa9aqYmG4imXEheJyYmuQ9akkKXXDVkGyiHzaA5ZMEIRZP8EvjPGPG+MeQFYAtzva6X0WSQHpyiKosQ2HXKkI8nuTZERH/GGfyJ/pByyHYU76NamGxO6TWBvyV5WH1jd6GNVVoggS0pOICU1EWNoWj9Lj8cNWWoOWYMIZZbls8DRwPu+n2Ostc9Ya4ustX+M9AAVRVEiwUff7+CNBVuiPYy4JzlNXJXdG+NfkO3ZnM/m5U0rIuC4Yu3T2kfUIevWphvH9zieRJPItI3TGn2synKp856UkoBJMLTKTKHwYOODX9Z6MSkpkJAQuHWSp5w2ySLi95bsbfR5miOhNhcvBXYC+4F+LbZ1kqIoccmsLbMY9uIwNudvrtr2yjebefbrjVEcVfPAqeq+e2OEyxBFGGstb92zkI8eW8rKuTtYt2hPo47j5JB1a90tIg5ZpbeS3UW76d6mO+3T2nNUt6P4dOOneP2aeheUF1BQXsDln17Oc8ufq/t4VQ6Z1CDLyE6jYF8TnCuPFxITMKmpQVsntUtrR3ZaNlvyI3tDZK1lyZ4llHniI7uqXkFmjPkF8CUwHbjdt7wtssOqd0yHpg6ZoijNgv9t/h8A3+/9vmrbweIKDhTr7MCm4giyorxyykvjN7F/+5qDVeuzXlrF9KeXU5TX8At5fnk+bZLb0DatbUQcsu2F26m0lfTIkALlp/c+nR1FO1h7YG3VPjd9cRPXfnYtS/YsYebmumdheiqcHDKRAxnt0yjYL4KsstzDl1PW8P6DS6goC61jovV6MAmJJKSkBJ5l6a0gJSGFXpm9qt0gRYKvtn/F5Z9ezhnvnBGxGa/hJBSH7EZgLLDZWnsicAQQVZ/RWjvVWnt1VlZWNIehKEqckJoorVz875TzSyo4UFTepIRoBbyV7vvXJGclymxYUvuyNvWRpezfWRRg7+DkleWRmZJJRkpGRByy1fslX2xg+4EAjOo0CoBludLiz+P1sHTv0qqbjxX7V9SZq+UfsgRxyAoPlGK9llXzdrLsi21sX32AA7tCfB+81nXIAuWQeSpITkymd1ZvNuVvCu2YjeTjDR8DkFuS26Q8u0NFKIKs1FpbCmCMSbXWrgIGRnZYiqIo4SMlQdrA+AuygyUVVHothWXx6+rEAv6NqPP2xu+suZKC6uG1YSfkULC/lAUfNyysnV+eT1ZqFpkpmbUE2eurXufvc/4e8rFeWP4CR792NHfOu7Nq26r9q0g0ifRt2xeAHhk9aJvatkqQbc7fXG32YqW3kh/2/UClt5L/fPcfbpx1Y7WJB7VClu3T8FZaivPL2fCdK1KL82qHH19d+SrzdsyrvtHjwSSIIAtW9iIlIYXemb3ZX7o/Ynl2pZWlfLH1Cwa3HwwQsa4J4SQUQbbNGNMWSeifYYz5ANgR2WEpiqKEj5oOWXmll2KfM3BQw5ZNwlPppU07eX/zc+NXkJUWVdCpVwYJCdKJZezE3hx2REe2rtiP1+OttX8wZzW/PJ/MlMwqQea/36wts/hkwyd4vKGF/77a/hUFFQW8teYtdhTKZXfNgTX0yepT9Zk2xjCsw7BqjphDWqLUA3tsyWO8sfoNnlj6BLO2zqoK4YOfIPM5ZG3ay2v2bi1g++qD9B/bGYDi/OqCzFrLvd/ey9Uzrq6+3euFhERMakrQ1klJCUn0yuwFwIaDGwL+7qv3r2ZjXuNzPDflb6K4spgz+5wJNBNBZq09z1p70Fp7G/B34Fng3EgPTFEUJVwkJMhXnZNHklfiirD9RbUvGkroeCotrTJTSElPIt/nkK2at5Od62P/AuhPWXEl6ZkpZHVKp3VWCultUug1NJuy4kreunchO9e5OWbvrX2PkS+P5JHFtTsL5pXlkZkqIUuP9VRzq7YXbqfcW86OotA8jU15mxjbZSwA76x9B2stK/evZEC7AdX2G9ZxGOsPrqewvJBV+1aRmphKq6RWDMkewp/H/Zllucu479v7yErNomvrrszeOrvqtU7IsiqHLFsE2YKPNuL1WoafmANQK59uX6k7G3V30W73Ca8XEgwJKalBK/WnJKYwNHsoqYmp3Pj5jews3Mny3OWs3r+6SsD+7ovfcfOXN4f0PgXiYJn8vRwn0XkcywTtZWmMSQOuRSr1LwOetdbODra/oihKrFJWKRcG50s5r8QVYQeKVZA1BU+ll8SkBLI6ppOXW8rqb3Yy88WVtO3ciktvHx/t4YVMaVEF7bu2pttRbavCsD0GtyMlLZHcrYW89+/FnHH1MA47oiMLdy/Ea708vexpBrUfxPCOw+nSugvgOmQZKRlVj1slt6LSW8nOQml5tDFvI/N2zCOnTQ5Hdz8a8JWyaP3/7J13nFTl2f6/Z3rbmZ3tvdGWtnQrKIJdMZpYY4mRFI3dxORV4y/GxCS+lhRLNMaeGHtDUBQEAVGpyy5lF9je2/Tezu+PZ3Zm16UsKqJ55/p8+DB75pwzzykzz3Wu+7rvuwAp3ivZF/bR6+/l4sqLkZBY3bYao9pIr6+XY/KHn9dpWdOQkdk+sD1B2E4vO508Yx6nlp1Ks7OZF+tfZG7hXNK16by6+1V8YR8GtSFh6n9q15PkOTK4eOz3UWuV9La4yR9rIa/CgtaoGqGQtbnbEq9Xta3i4sqLAaGQSQrlfj1koViINEUaucZcnjrtKS5ddik/W/kz9jr2AjCvcB63HXVbYv/t7naK0ooO+Xo6AuK7XmAsQCWpvhWE7EAK2bPAbAQZOwN44GsZUQoppJDCV4xBlWIwbDFUIUuFLL8cfAEf3YEuzFk6nH0+Ni8XpQz2Feb7JiPoDaM1qph5WilzzioHQGtQc8Ufj2fxA/PILjWz4tmduPr9NDubmZo1FZVCxc8/+jk/fv/HgAjjuYKuhEIGybpkPb4eIrLwK+517OX+TffzcPXDACxpWMLpr53OsqZlifEMGt7LLGXMyJnBXsdeHq1+lAXFCzh37PAg1ZTsKQBs693GLtsuJmZM5IrJV3BqmehueNmky9Cr9JxZfianlJ5CMBpMhC0HQ5ZvNL3GMzueQaVWcM6N08kpTeOYc4W6ZDBrD0jINvVsSryORkK81vAGfkWE2H7KXmiUwtNZlV1FkamIvY69VFgquHzS5aztWMuzO59NrP9u07u8uvtVen2HVoZkkICl69KxaC3f+pDlJFmWL5Nl+XHgfGDe1zSmFFJI4b8Q7TfdTNt11x2Rzx7MMhv8UR5KwlIK2ZdDs6OVFm8z2ixh6nfEs/E8tuC3hpRFozFCgSg6o3rEe1q9Cp1Rzek/mQIyrP53HX3dDiZlTuK3x/0WEOSpwdGAK+QiFAuRoc3AohVVAPp9/YBQegaxomUF/oif7f3baXW18rtPhWn/3g33ctXyq9jYvZFljYKclZpLqcquIibHCEaDXDLxkoSKNgizxky5pZz3mt/DHXJTmVk57P1ScynrL1nPCUUnMDNnJuWWcl7Z/QqQDFkGpQC9vl7q7fXkVVi44LY5FIxNB8Bg1oww9be725GQOKn4pGHlZKLRML6on3pvE7GA+N55w95EgkM4GkatSJ7nYwuOBeCM8jNYPGUxAC/Vv0S+MZ85eXP429a/8dtPfstj2x5LKHujwSAhs2gtpGvTv/WELPGLJctyKg0phRRS+FJwv/cenhUHrol0uJBQyEIjFTL7Pjxk0ZjM6vpewnFCsbHZxssb20aslwIoY0qiUoRQhgtkkGUonZJJLCYn6ll9UxGNxGjdOUAo3ipIaxhJyAaRlqHj6HMqaNtl5+xNN1GiruCcMefw4QUfIiHxXvN71NnqABhvHc+UzClolVpWta0Ckg3Bcww5iYxIGZn7Nt6HP+KnKqsKe9DOxu6NXLX8qoRKVJJWQlVWFQAmtYlZObP2Ob6qrKpE2G9SxqQR76sUwqEkSRIXTbiImr4aXtj1QkIhM+mMidDo52Ewa/C5hocf29xt5BnzmJU7iy5vF/1+QTxj0ShajR6H7GXA1YUsy1z9wdX89IOfAkIhG0rIFpYsRKPQcHrZ6WTqMxljEarcTTNv4q8n/ZWzKs4ChFL2209+y6u7X93PFRoOR9CBSW1CrVBj0Vq+9SHLaZIkueL/3EDV4GtJkr79PTJSSCGF/xOIxWSqO0S4Y8AnGmEPKmQqhYTdF+admk4a+pKFI9/f0c2VT2/klAc/whuMcMFjn/DL12rodX+zCcaRgBotUUWED/3JcFvFjGwAHD3f7KzLzasbWPK3bbTtsgGgM+7XVg1A1YIiSk7VopSV5PiKkWWZTF0WxxUcx+PbHucPn/0BgMrMSkwaEycWnciL9S/yi49+wW77bpSSkqumXJXYX6Yuk9Xtq8nQZXDHMXegVWq57ajb+PHUH/Pro3/N7Uffjk6lI12XTmVGJQtKFqBW7ps0XjDhgsTrsdaxBzyOiydczPyi+fxxwx/5rG0DMjFOqVjI1KyprGlfA0Cfr48r3r2CZmczBosGn2t4zb5WdyvFacVMy54GiKLLjoADKSZTmTWJbEshHo+d1W2rqe6rpra/ljpbHbM3OMjuSqpcxxcez8eXfEyZpQyAhxY+xNOnPc2ZFWeSpknjT/P+xPfGfQ9PWHw/P2z7cFgR3P3BEXQkVMoDEbL7N97PytYj86D4eez37pNlWfl1DuRQIEnSImDR2LEHvulSSCGFFDY02xjwelAakgqZI66QFVr11He7ef7TFkozDSy7YR7/WNOILyQUk+YBH/ctTxaUfHNrByt29jK1yMKdZ49UIf4vQhFTEpOiLOt9m8vVszHJZkonZwLg6PVRSuYRHuFIdDU4adPu5pWV6yljKu+sXIOWLNySA8hLrBeTY9y/6X7cITfj0sfx7M5nmZc5n2yOR+dM5+NX9tLd5OTBWx5MVMbP1GWSocsA4Pzx5/N+y/ssb16OUlIyI2cGF0+4mH/t/BdTs6cyr3Aet6+7nYkZE5mUOYkNl25AIe1bJ3nm9GcSKte+MC17GncfdzcNjoZESYz9QalQcv/8+7lj3R1Ur65hsmIuC0oWkG3I5uHqh1nWuIxWdytbe7eyrGkZx5rPJhKK4XOGMFg0ROUou227OX/8+VRmVKKSVNT01eANeymTIT+tkFBAhS/Szu82/JEMXQYzNtr51P1nLn3LSWjFKrgwOR6dSpd4XZxWnOhCMIjKjGQIdnPPZr779nd5+eyXmZg5cb/H6Ag6sGqtAKRr09nRv2PEOraAjWd3Pkt1XzULSxYe8Jx9HTjw48A3FLIsLwGWzJ49+8dHeiwppJDCoUFkYY22je6XR48rAAoRlgzFAoSiIVz+MGk6FRVZRlbVi+KXdm+IHz6zkQ1NNlQKiQyjhrOm5vPM+ubEvp5d30KHw0+PO5AiZIOISkQVgsB2mveSFrUS1M5Aa1Bh6zy0KveHinUd63i36V1+MPkHw0pByLJMi6sFpaSk2Dx8cn9n3Ye0/As2Fb7HNNd8AFStwiv1++q7uTn/auYVzkOSJNa0r+H5nc+jVWp5M/omAK/5XuZK3TTCvbl0tAzg6PEh+4Tydf2H12ML2BKfdWzBsVRfXs25b51Ls6uZ7477LkqFkiXnLUEhKZCQ8Ia9HFcgMi33R8YAjGrjQc/HeePOG92JQ9Tmu+vYu7j1wweIKsLMyZtDpj6Th6sf5ldrk+Umnqh5gtb0boqZz8v3biCo8qG/sIdANEBVdhU6lY7xGeOp7a+ltr+WW2TINuXjCchEItDl7eIn4WM5+Z21iC6MoAyNrg7bIAYJ2fTs6VT3VQOCmB2QkAUcpOvEdU3XpuMIOpBlOeG/swfsifBsTV8N9oAdq856SOP6qvH1/SqmkEIKKQAx7+GdpD8PuzeEpBhSdyxgY8AbwmrQcPMp4xn0R7uDETY0ick0EpMpsuq58eRxie0uP6aUDocIwbUM+A4pfCmHw6Jg5n8jYhJRSRCyRYtnsWzC4zxR+wTBHDt7t3cdttZU7pCb61Zex9sNb/NS3UvD3nt+5/MsenMR31vyPZqdzYnlHe4O1iwVSsnsjtNRR3UoDDGUstAmtAYV1668lsXvL2Zj90YerX6UfGM+b537FpdUXsLJJScDYM7T0LnHgaNHhN46dzuYVziPmTkzE0b/QSgVShZPXUyFpYKTS8X2KoVKEDJJ4uLKiykxlxyWc3QwmDQm5uefhElvQK1UM946nnPGnJMoq6GQFETkCEvtb2AaBz57mGifmnfeXYs+lMa07GnIMZmqzCo2dG9gQ9dnKGSQlEoMRiuaqPhyHffB8LpriuxDU00rMyqZmTOTW2bfwpbLt5BnzGNb37YDbuMIOkjXCkJm0VoIxUIJL6ksy1yw5AJ+s/434m9k1nWsO6QxHQ6kCFkKKaTwtSLq/HotqDZfGKQQWrIAYUZut/sosuqpKkrn/vOnsWhaAYO8IdMoUvKLrHqyTFouOaoYs07FtSeNZWhy2+Zm+6jHUDe1ivYbbvjKjumbBCmmQKmSuGbaNSysWMC8suNZ2riUNdK7hBxygrR81djau5WoHMWgMvBJl2jf0+/v5+ntT7OydSXFacVolJpEBqMsyyx5bAul9snkTjSABOXTslh4yZTEPh9f9Ch3HH0H1b3VXLX8KvY69nLjzBspNBVy+9G3c9vRt/HDKT9k4vhyPPakyb1jtx2lQsmzZzy7T5Xq3LHn8ta5b6FX6Q/LufgysKoyMOoMgDD83zP3Hh49+VF+OeeXPH3a05SZywDonLmZ9ZNeIawOML/xEi7bchc7X3Hwj5vXUNYi+mlKg9xbIaHQalHH0wGNrQNIBkPiMw3Z+Yc0Rp1Kx7NnPMuMnBmoFWqmZU87KCFzBp2JkGWOIQcQ/jNXyMX2/u30+EQx2+K0YjJ1maxtX3tIYzocOCAhkyRJKUnSiq9rMCmkkMJ/P2Kuw5N+7t+xA3919YjlNm8QhTJMrq4MgEZ7K202HyUZYoL43qwiLpkjwlrFGXpOnCAM6YXpYvL8w3lT2XznKeRZdJw8MZdzphWgUSnY2nZoWVtHKsP0cEMRVZBvzudn038GwJy8OdiDdtrSRcbhx58lr0mzs5n7Nt5HODqy9tvdn9zNu03vjvpzN/dsRqVQ8dNpP6XN3cbUZ6dy/crreXDzg2zp3cL84vl8b9z32NK7BZ/fz38+eZ1og5HOsu1897qjWHz/PM64eirjZucmWj+lmYxcXHkxryx6hb+d9DdWXLAikeUHYmK/ZdYtTD+pLLGscHw6LdsHkGPfzib1oWAUtW64ZVytUHP5pMuZmTuTJect4dj8Y3mh9TlqLOvIO0NGPc2NbkqAPZt6iASjxOpFzbXvlC8ChEKmSDOhjMlcbDoJ2e7AsmhRYv/76nF5KJiRM4MubxfVvdWJArArW1byccfHgCit4Ql7Eqb+U8tOZWLGRG5bexvfefM7vN3wNjqljkcWPsIjCx9hbuFc1nWuIxI7sgUlDughk2U5KkmST5IkiyzL3/wiHimkkMI3HlGX++ArfQE0f+98ACbW7Rq23O4VCtnEzHG0tG9hdeMu+j0zKM5IPrGPzTEBcEx5JuXZwqtTZE2qBmqlkMaeuGI2AAseWE27/fAoP98myLKMQlahVienktm54hxFTD78Gjcfb9vOvNOnEI6FuePjO6jpq2Fy5mTOrDgzsY07JPo17hrYleg9OPS9jd0bmVc0b1i5hE3dm5iSOYWTS07mz5v/DMD2ge3DxhGTY0RiEZ68czUKj1BL5iwYh0KpQGdM6hGX3n0MHlsw0cdyTPqYRMudfcFk1XL29dPoaXJhzTXw/pM76Nhtp6gy45DP4ZGGzxnCaDlwEsAJRSckVMiTTpxNrlH0t+zq9lD/UQc7P+rkPz95ifHppTTwJiiUaMtFcd2rHdPo5QPSFi7AtWQJMZ+PmPvL/QYsGrOIf9b+k8vfvRyFpGBRxSLeb3mfXEMuS85bQqNT9MfMNYhxapVaHj35UX60/Ec0OBtY17GOquwqTig6IXF8bzW8RXVvNbPzZn+psX0ZjMbUHwBqJUn6AEiYP2RZ/u/U31NIIYXDiugoFLI/LNvFO9s6uWpuOT+aVzHsvYjNhipj/xNfxG5HZU2acz0DfVyzNoz2JhPvR61saN8D8oyEQgaQnabl+gVjOX1KHp0O4Q0rsu4/vJRv0dHlHJ2HTI4emoH524RYVKhCKlVSYRlnHYdFa2Fy5mTyi614uh38as2v+LhTqBd6lZ4X61/kzIozeXDTg/T7+xNhvu0D2znr9bMoNheza2AXDy94mFVtq3ii9gnGWMaweOpi1ravxR/1U9PJ7WPVAAAgAElEQVRfw00zb6LEXMKqC1cRjAZ5se5FDCoDz+x4hlm5s4RnSAaFJ0k4vjPn9BHHoVIrSc81jFh+IJROzqR0ciaRkFCYdm/o+VYSMq8jSHax6YDrXFJ5ifBhRUMJMgZw7F8+4tRMC9NiMmkDuagsgtBKCgnNGEFoXe+LjgDacePIv/dP2J55luCeg5etOBDMGjN3H3c3/677N3mGPF7b8xogCvR2eDpY1rQMpaTkxOITE9tk6bO4edbNXPfhdbR72jk6/+jkcRQci0qhYufAzm88IVsa/5dCCimk8KURcx3YQ7anx80/1zYSk+G1LR3DCJmzbjed534H6ee3UfnjK/a5vX9rNWkLTkr8PaF6FSfVynQv2UpOVSGldROZ6dRTPIRwSZLEz0+dAMD43DTuWjSJeeOy9zvGPLOe9Q39ozrefTVY/m9BJCzIplqTnEoUkoK/nvRXrDorXc4otqYAr3esx6Qx8dCCh6i31/OnDX/ijT1v8FL9S4SioWG9ClvdrQSiAWwBG4/VPIYrKO4XR9DB7etux6K14Av7RHugSeIeyNILf+DPZ/8cWZa5bNJlpGnSMGvMGMLmxL5zyswjqtx/Wag0SnJK0g6bV+5wIhaN4XOHMBxEIVMqlCwas2jYssGCyh/2O5km6elpclJUFt+PQommuBhJrSawrQaFwYAqLw9zfj6BnTvxb906LOPxi2Be0TzmFc1DlmXStem0uFpY0bqCFS0reKfxHY4vPD5RfmQQQ++zoaU10jRprL5wdSLEeaRwUEImy/KzkiTpgRJZlusPtn4KKaSQwucxNNPuYCHL5z9tQatSMm9cVsKnFYvJ3PhSNZPatjMf6H/kEbovvJA8S7J+EUolRKP4q5OErLnfiy3+2fpeNzMLJlG65igAsobUdIo6HCgMBiSNBrVSwZXHlx9wjPkWHb3uIJFoDJXywLlRX9Yv802GNyhIiFY9vFjprFxRTT5U2IUipsIcyObUCScyO28203Oms7x5Of9v/f9LrP/czufIMeQwr3AeC0oWcELRCTy27TEeqX4EgB9O+SGLpyym1dXKhIwJOIIO9Cr9PoukSpKU6CMpSRIX5V8OwNwLxjH+qNwR638VMJg19LQcnlD84YTfHQYZjOkHJmT7Ql23ON6IBGlWHY5eP8RiyECL3UTDe21Y8/KItLVhOOqoBPlSmtIgFiPm9aE0HbyUx8EgSRI3zboJWZY5+42zeWDTA0iSxJWTrxyxboGpIPH685mtR5qMwSiyLONFWKuB9+J/T5ck6e3DPbAUUkjhvwiRpFn2YCHLPT0eKvPTGJdrwuYNEYvJ9HuCLNnWyac1LQBkBlzUNHQntpHDYYiHBoO7dwPQ6wow//7VSB6hsGhtbiZnj8GvEhNJsM+f2Hb3McfSdeedoz6cPIuOaEym35Nsu7S9w8m1L2zBGxxuDJZDyXXkyLe7C10gEuDSpZfyUdtHAHgDgpBp1Jp9rp9ZKEJhJxvPSkyQ9nY/P4r8Co2kQacUhNob9lKVVcVdx92V8PVcNvGyxH5m587GorUwNXsqGqWGHENOgnQdDGdknANAWVUm+rR9j/PLQm/W4Hd98Z6oPleI5+5YT2/L15uB7HWKhwWj5dDPS323GKtBo8SSo8fZ60OORunPquKTPZlsfKcJV0Rc/8zFye4EijSxLOb+ao9VkiQeWfgIJxafyJ3H3MmcvDkj1tGr9Ak19fPFZ78JGE3Zi7uAowAHgCzL1cCBHx9TSCGFFIZADiez6g4Wsmzq91KeZSTLpCUak7H7QvR5xMRhDiVrmLmrhzQ0HmISHqxz1tgv/rfEmxprOvopN5fh0QrVrb/NQ0+zi47VW8X+Vq0ePg5nE3etv4sB/8CIMebHlbkuZ7Ku0Z1vbWdpTRcvfNY6/NgDSa9Z9CDH/k1Hg7OBmv4arvvwOjwhD56AOMda7b4n9Ix8IzqjmqO9p1BiLmHv5l5e/sNGapf2sPyslbxz3jtcUnkJxxcczy/m/GLYtiaNiefOeI65hXMTiQKjhdcRpLm2n6aafta8uBuFQiItQ3fwDb8gDGYN4WCUcPDAfkGvM7jPYrldDQ7cAwE694zM3H338Vre/POWr2Sc9m4vL/5+A15HMD4eQSK/iEJW3yO+V0qFRHqOAWefHzkaxWlO0gP5shvJuOoq9LOT109pFiHk6Jc09u8LZZYyHlrwEOePP3+/6xSaCoFvLyGL7CPD8tuZ35tCCikcEQwlZAeqQ+YNRuh2BaiIEzKAAW8ooUSZg8nJzNPTl3jt6En6udwOsf82m1BvzCHxv8LtozRgQhUV5KGv1c2rf9rEW6+JHnn6Kcl6VADvN7zHljWvcvm7lxOTk0Vd/RE/q3qfQalvpjtu7F9d38fWVgfpBjX/WNtIJJpcPxZIhiyjjpHqoCPgoKavZsTyQTQ6G4nJMT7p/ISj/n1UIs3/SKDVlSSbq9pW4Q0IQqrV7JuQKdUKJs0roGlbHzWr2lj+RDILMupSkGvM5fajb+exUx5LTJRDMSNnBn8/+e8Y1IdmuN/wThNLH61h2aM1REIxYjEZxUFCy18GBrM4fp8rhL3by9O/XEfdJ12894/t+IYoZ8/dvp7/3P3ZiO3728U96Owb2fuzcWsfHfVfzTVv3WFjoN1DW50ogDxIzAzmQydku3vEmN2BCKYsHUFfBK8jiNdYSLoxjD5NjUORTe4vbx3mFdu6R48tffyITMtwdzfOJe980UMbNUrNpWTrs0fV+eDrxmju0O2SJH0fUEqSNE6SpIeA9Yd5XAeEJEmLJEn6h9OZqsSRQgrfBgwlZJGBkYrTIJoHBOEqzzIlCFm/O8hAXCG7aELSoO3vS+7no80NYplKg9MmfugHCVkhSYUq0yWji4gf4vb6zxV2/Vw7p5K/vcW9z0TxdLbS6+tNLL/1o1t5q/lfqDM/ojNOyF7b0k6GUcMvTp1AnzuYyNQE8HmTk2zUOXJi/UftP/jhez/cZ22uNncb5755Lksbl/LnzX/GH/Gzy7ZrxHpfF5pdzYnXTc4mfPGQpU6z/wl96omFIEl8/Mpe9GlqLrxdhJLctsPXqL29zjZMNphx6uGthD9IaJpr+nn3cUHCVj67i4YtvTRsEfeOHJMTWamx6PCuDf1tgty4PkfIAt6R98SXQX+7+G70NomHFq8zCBIYzPtuWH4g9LiS108R3/7f99czkDmZdFOUvAoL3Y3D5+igP8L2HVHaihaMUMiaL/k+nbfeetg9lzfMuIGHFz6c+FuWZTYta06cmyOJ0RCy64HJQBD4D+ACbjqcgzoYZFleIsvyTyyWI2/CSyGFFA6OYYSsO+n9CoSj/HNtI56476qpf5CQGcmO+336PEH6h4Qs1YVCSYnYkj0D6/eI1iw+SyaKgB9Zlsl7+SmOifZTrongiidUxmwOdBED/gwb0XByUpRNlmEtneRYjLJPhV8tyyX68YEoODlYvkGtDrG72407EOaDnT2cXZXPmGzhj2mxJfflcngSr6OOkYRs58BOQrEQHZ6OEe/V9NUgI7Otb1uiR2K/f3TZnYcDra5W8ox5lJpLaXY14wuJSVmv3X840GTVMWZmNrGYzJiZOZizxcVo22Xjxd99xvv/3L7fbUeDaDjG6hfqcfULMuPs8+PqT5KF834xk+O+O/ZLfcbBMKiQrXtlD373cC9Z605x3WzdyXvC6wwR8IbZtb4Te7eXgf0oZP1tQ0LxX0Hh2UElrqc5nrna48No0X4h9dDhC1MQD91HTcPzA61pMfIqLDj7/AmfGpAI1zrSxxJxeoZtE+kS37GYL5mtWrOqjebar/Z+zzXmMikz2Ye2v93DZ283sur5uq/0c74IDnoVZFn2ybJ8B7AQOEmW5TtkWT58jzYppJDCfx0GCZnSaiXc05PIunxyXRO/X7qL/8R9V0194ge7LMuAqXojc7p30u8RIUutSoHkdKLKyiKoM8IQcuPtF2pX0JqNKhwkOjDAjHVv85slf0JyuGkXPl78vXYkFDRmbsOYPiTMdswCYp7kBOHfkvTsWD1ygiw1OhsT1by1Ojcbmm0s39FDMBLjO9MLKcsSobWWgeSk4nEnJ+LPhyxlWabeJpLXW1wtI87broFdif/tAXGMg+TwSKDV1UppWinl5nKanE34g2IqMGgO7M+acUoJKo2CymPz0epVaA0qdq7rZKDDy55NvQfcdn+QZZkPntrBJ281sGNNB5vfa2H7mg5adwjlNLPQhEqrJLfMfJA9fXkMEjKAhT+YyFGLkj6qjno70WiMriH+MLctwJKHtvHhc3W89r+bcdsCqLVK3AOBYepZX2vyngz6Rq+WbVneQvWK4V7GaDSGrcuLQiHR3+5hoNNDS+0ApVMOra8kQCgSwxOMMCZeUDmgVXDmNVOZMF2IJGkmmeKJouRE+67kg9NAhzieqEpPX9fI8CyAHCdkdZ92sfalPbz7WC2de0bfpizxWZ0eopGD94/ds0G0UNKbD0/Cx6FgNFmWcyRJqgVqEAVit0mSNOvwDy2FFFL4b8EgIVOXFCP7/cScTjzBCH9fLUKNb1YLwtPU7yXfosOgUWG/4Vru/vQp+j1B+t1BYfJ3OASpSzOj9jiJxlWD4CA5y8pGGw7ibU+qTboeB11ZonCpv18oAz2xDmrHL6O0ZblYrs0k6k1Oft49yQo/GW7o8ggStNsuMjhPyjoFOeqmqd/DP9c2UpJhYGZJOrlpOjQqBS0DQ7xu7iQ5cw8JswajQd5ueBtPWHzuvgjZTttOAGr6awjFhPLS6encZ3gTRBbk4USLu4UScwll2jFYd4zH5Y777w6gkAHklJr5yV9PTJAjw+cmv5YdA4nJerRw9vnZvaGHbSvaANi5rpOPXqjnkzcaMGfpOPu6Kr5z03SUqsPfslmXlgz5FYxNJ3+MICZFlVbCwSg9jS7a65KkwtbhobfZReVx+RjMGsbOzmHO2eXEYvKwHpm9rUm/ZdA7ugxdWZb55I0GPn5177Dl9i4fsYjM5BOEwvzi3RsIB6OMnZ0zqv3WtDu49706ItEYDp+4FwcV4QFvkPJp2Rx/WhaTdj5DYW6UrCITOpOatl1DjrvTi1ItrkdPzxCFWpbxazPozDsmoZBtXNpMTmkaaZk6Vjy9i1Bg9BnK9m4vL969gY1Lmw64nizL7NksCJkcPfLW+NHcqU8CP5NluUyW5TLgWuDpwzqqFFJI4b8GT65r4vaXheKkKRKZTeGeHpqaunloyW+5UNPHjk4Xe3vdNMYzLMM9SdVkwBOkzxMkKy1JyLCkYw546HUHcAXCqONkSpWXh1qOsn7N8MbDvgwDCqMRn02sd37Vd6l2vU1xu+gv6VNZiXkEiWqu7WegRRDFiFJLoX8Mtg3w7mO11A3UYYpamLDkbI5tOhdJ6aWu28250wuQJIkYUYoyY8MUMq8n+XpPU7Kv49LGpdyz8g6mNomJqdU9XNGIxCLUDdRh1iQVHovWwmt7XuPY/xxLde/wvp2BSIA5/57DHz77w+guzCHCHXLjDDopNpRgfGsKs1pPY+9WMZllmQ6usgw1dnviZvKKGaL47rJHa1j/2t59brc/dO3dt4c4HIwydlYuJquOvPKvx9aiHBLy0+hVFI63Mv/SCSz8wSQkCVq2D9BWZ0+Qn8ZtIgw3blYO37/rGE770RRyy0QZj8GwIkB3gxNNvM/kaP1k+/PmDSqHM04t4fLfH8eEo/PIqzBTOC59VPt9Ym0Tf1/dwB+W1WEbJGRxhcwWLxKrIEZe70aUKiWSQqKo0kpbnY21L+9mxTM7GejwkF1sQhtyYrfLVK9oJeSPEOnro614IXWVl+PqceN1BHH1+Rk3J5eFV0zEbQuwc13nqMYpjjUeJt5HRqvXGUz4xRw9Pjw2cS/63F+8bMlXhdEQMrcsy4k26LIsrwOOvPsthRRS+Fbgk4YBapvFBKQuFpWyI93dDOyoI89n54JIKwoJ3tzaSWOfh/IsI76NGxPbb2y20+MKkGXUELXbUVqtaDIzMYe87O7x0GH3Ywr7iWl1GLNFmGTdyk0AKNLTiUkKNOpjkTKyCDhEmGT+2Hmcn7kAddiLSiXjIY2Y10vbx3UsfaSGnW2Z2EzQUnkOauUNmDaNobG6D/W/JnPZhrsByHOXcXKVlsuPKWXx3ApaXC2c/cbZ9GfcyV5nUmHzD1HImps/ZX3nekLREI2ORk6ulrnjpRhTdRUJhezTxgF2dbl4YNMDuMNufjb9Z2TqMvnD3D9wdJ5o9xKMBlm8fDGPbXuMUFRMJIOE7j91/0mEOr9KDIZKrc4Com4xdagGBIkY2styNMgrFySz8pg8QLRg6m1xE4vJNNX0H7R8BEB3QzIEOOHoPGafWcbsM8sARq36fJU4/vyxnPWzKkC0Dpo8rxCTVUtuuZkty1sI+SOMmZGD1qCiLe4ryy5N1lLLLbegNahorBbZw25bAI89SFmViLfvi5ANVdMG0dOUVNUioeR5bK7tJ6vYRFqGDpNVy5Z8BX/BhaQYXbX8UETs6+n1TWxpEee+PNOIQoKBwXp8gwWg4wkyxRMz8DlDbF/dQf2n3XQ3OckpM2OKOWgPZPHxq3up/6ybcGsrTosI83Y0euncK/afPzad/LHpaI0qnL37DnHuCy3b++PDkGjZPkB0SBh49b/rWfqIyGoeVC0LxqWLIrlHGKMhZBskSXpckqT5kiSdKEnSo8BqSZJmSpI083APMIUUUvh2o9PhRxUTP+aaYpHtFu7qxtPaDoC1s5njx2bx7PpmXIGIIGSbNyW377axu8dDrkbU9FKmp5NekI0l5GVbmyNOyHxIZjPmdDHBFXt6iWm05N91F/2ZU1EHvkNv3mwC8Sd5nVHFIvNcJMBhaqTVbSEsaWj+pSgO2xWdyLYZ99GbMROk5M+kOqRDGRUKhNHv4eJj0/jduVOwGNQsaVhCj7sXrWSiV/sU/XFlzOsVz68DRgV6h5effvBTfv/p72l1tzLeb0YhwxRFUSKD8Y43arn3/U38e9e/uWD8BVw68VJWX7SaRWMWYQ/asfizuZb/x4LChTxS/QjXf3g9sizT5mpLjHPx+4t5c++bwzokfFkMhm21DqE6RdQhsnwi/KVQHVoLnFN/NIWL7zwKa36y9EDAG+Y/v/2MZY/WsP2jkQkOkXCUgEdMml17HTTXDlBUaaVsaiaT5hVw9DkVzDm7nAvvmEN28eiKxn6VmH5ySYI8DcWgl0qpVlBUacVkFRmZaRk69KZk6FapUlA+LYumbYKQDmYo7o+QNW3r49nbPk6Qu0EMGvYhSdj87hDdDc7EvuzeEI+ubqDN5k/U+DsYupwBJuabUSsV/O9yYYDPNGkoyzSyO16TbLA4szSEkEEyIUFCYvrJJZg1AeQ4/ehqcOJrbMVjFA9rzU1hdn/WjUqrTPTYNKVr8TiC4j6vsx3wvo5GYnTE/XpNNf288/A2lj1agyzLhAIR2nba8DiCRKMx2uvtpGXoyKsw43eHvtLvyxfBaAjZdGA88BtEkdiJwHHAA8D9h21kKaSQwn8FOoYQMnVBPigUhHu6CXaISTe2u57zphfgjmdaVmQbiXQlMzEvGGNCr5CZbYk3ss6wos/KwhLysn5vH+/UdJIZcKHOyiI9U5CFEncPmoJ8zKefxvKFor5Yj3ECAZ8Yh86kxhAvWbG56D0iMRUdBScQ1CTDN7LSgF+ZDBeunPQMH4x9gHnrbiW7dwvaqJmbVt3Eh60fAtBSO8CPPr2fq+VfI2l7ufV90fbH7RHh125jJrk+I/OL5vPG3jdY1baKPI/wHo0nn25vN7aADZs3RHtgGzIy3x333WHn8sIJFzKr/XSin2SyYPfl/GL2L1jfuZ6Htj7Eus51ALy66FXKzeXc+fGdrO1Yy1eFTk8XJ+69hN4NosbU2Kl5ifeUh5ilpzOqySw0JcjJIAb7QQ5mTA7Fiqd28uQv1hLwhln69xokhcScs8o469ppFIwV102hkI4IGTsQqk4qZt5F47nw9jnojOrE+MqnjyRvlcfmE/JHePXeTez6uBO1VknheCsw0kO2a70gyEOzN4FhXjWPXdzjLdsHkGUojxOyt7clw39Dw+sHQqcjQFWhhTOn5OGIJxhkGDVMLbJQ0+7kve1ddAx6JxUizJqWocOSo0eSYOZppcy9cJxYlpYkPt0NTnqbncgKJeqQm44uaK4dYNJx+YnsT702htfup2FLH2//pZoda8X4P351D/+48aNh43T1+4lFZBQqKVFmpHWHjb5Wt1DLIjGQwWsP0lFvp6jSij5NQywqE/If2U4ao+lledLB1kkhhRRS2Bc8wQhOfzhByCSdDnVeHuGWVugValXUZuPMfBW3xLcpzzINq1F0x9x8rrzpZrT28XgAdUEBUbdH7HP9Wio6t5Prs6OfMQO9WTxRF3n60E4R4T1FQPQv7CWPkCKARqdEq1fh7u1FUqu548I7WbFzO05zOWmepMo0iIL+jegWnERWWRWRjg4UciPakBNJIVLnX9j1AuX2qXjbxI9/4BMVxdPnsin6Cl2un+Dy9rJl2o14tWFiHi+/GvMjPu78mHAsjNUlzksFwoNV3bMNpz+Iku2ka9OZmDFx2FhOLzsdpz6Dfjw01/azePElvFz/Mk/UPgGAVWtlQsYEnjnjGU555RRe3f1qohXRgXCgRs/3bbwPq86Ky+NhYt8xeAhRPCmDvJJ0mrcIdWbQqH2oUKmV6M0aIqEo4YA4F1nFJlwDIwlZw1YRynv3sVqC3ghn3DyVgnHWL/S5Xyd0JjVVJyWbWi+4YiLzLh6PRjdy+i0cb+Xs66fx3uO12Dq9HHNuBXqTGklKKmSRcJTlT+yguUaE5QZVQwBnn4+Bdg9TTihk+5qOhELWXNOP0aIhu0SQwe4hNcSa+73MKRvehPvzCEai9HuC5KfrsBo0vFktCFG6Qc3UQgtvVXdy9b+2UOHo4BFAGkLQp84vwtbl5djzxiSWpWdpwQsqjQK3LcAOjxkpFqGq9jEUl1xD5RWnYM4S5VGibjfRj1fgKpiNeyAfgM7ddqacUEh1PKEjHIqi1ggSOBjaLJqQkfDNgSgE3bYz+XfTtn6CvgjFkzISxM3vDqM1HHpNtq8Khz/9JIUUUvg/i664Z0sdLxUhqTXoJk/Cv2M76v4eIvEn6fDuepbdMI8fHl9GaYaBmNuNMls8zYcaGwl3dOD5SDwJq4uKUGWIifjchrWc0raJQm8/6oJCFAZD/POiqAry8Yf8ZHoKkfL9IEnYTGOYcVopCqWCcG8vqpwcpuVMJ8OqxGvMJ6gVSos67GFcbgsZxiBjd/2Hsr/9gKpbnuTUwBhQKEgrzCSm0HH15J/RVm9j2d9rGds5G0mKgixzRuQ8UPo566k/43DacFjHEzZMpi/nKLat7KQ0rZQcdwm+2Bg2zryV/KCYKG9cfQO6kscIqrdzbP6xKOPnR5ZleltchINRbB1e1DolsahM2Cfzz7nPcmb+IgCsOiutAz7G3f4+c7JOZU37Gta0r2Fly8r9XqNWV+s+kwRAdBF4YdcLvLDrBXrtyclMpVZQPDEDnVFNXoUZw5foEWnJ0pNdnMYpV03iwjvmYMnSD6sj1t/uZumjyU4GnXscWPMMFIwfnRn9mwZJIQ0jY7Is0//EE4R7RIJE6eRMzr52GlULiph+SgmSQkJrUCeIV3udPUHGYLiJv3GrWF61QBBAe4+PcDBK604bZVVZCdJt84TIMGpQKiRabQdXyHritcQKLHqmFCZVY61KybTi5HVQMNxDBjBtQTEnXVo5bH9ZxWY0IRdHLchGpVHQG7JSZv8Mi7uZMVZbgowB+Ku3oQ06CcY0OHrFWG1dPgK9yVDtp2808NnbjQCJdYoqxW9EWVUWGr2K7iYXzVu7MTvFervWd4Ek1hu8f4+0sf/QnJgppJBCCoeAjjghs8QfOiW1Gt3kKbg/WEG2wUJP8XgKW3YRampm0vz5/KZgMiCeijUlpfj7+vHv2CE2jsVAoUCdn0/ULsIy0+zNYr+yjLqwEIU++UOuzsunuakbTVSHucrLzPQ+6lfuZuqcGQCEOztR5Ymw24TSYrYOhPCFnKS5W5mz+V7y77kH04Jj2LtKiRyfs3xbNqMdU4Eh0wg20L82mYlKoeZpowastp3EJCWh1sloiscTSFuOQTM8A/GzbR0UjV1I5c5J7IzXKw0ONEJ8XlMaWpFlBVdOTjZk3rK8hU/fbEz8PW5aNvWfdeN1BHn9jzWUqU6GOUtodbeysVlMVO7eozGo3+HaldcCsPaitWwf2I5RbWRGzozEvpY2LsUb9rKuYx3Tc6YPG+vK1pVE5Ah9/j5qnNspRgRMZpxSQk6pmcUPzDvg9R8NFv5gIpICLNmCTKdl6miuHUCOyUgKiU/eaEhkzZ11bRXhQJScMvN+Fb1vG8Lt7fQ98CBEo2RdfTUAhROsFE5Iqn86k5qAL8wzHzdh3O5CpVVy/q9m8dG/6/HECdmqul42rG2hMEePNU9487a810LnbjvhYJSSScn70OYLkZOmxaRV0TyKkGVnvGdrQbqeifnD67pNLhB///SECj56K54prDiw1mMoymbu+msovf4FSv5nNptu+zvjTC0EgZhveAjWv3Ur2qAdJCnR63Ogw8P7969m8EtTu7odrUHNUYvKcfb60RpUCf9ZdrGJkD9C3fouQEVRx2p2WipExmdJGnqTJlGD7Ms0iP8qkFLIUkghhcOGQUI2KSfei1ClQjdVeLrSfU58pWNQpqcTahpeLyjmcqEpLQUgUJus5K7Oy0NSq9GOGweSlDARA6gLCxIKGYA6P5/6z7qIShHyJpkoLDdSuftFfB+8R+8DDxBqakZbITK7MvIEkXNaxmAZJ9QF3cRKVFYrmT/8YWKfvk2b0U6oxJAhPsdvjzCuP9k4We/vo6zlPYK+KOft/QlzOhZi1HwfgO+crSa7rxpTCGwNwyvHe2w+fjH7F8zLO4Ng30ICXeeRo0H3jhEAACAASURBVBNjG+jwsGFJE4UTkkrEoP9oMGU/FoGq7Cp+d/Tv8aztIT0qQSSdP8xNlsC47sPruGbFNVy1/CpaXC0Eo2Lb5c2iFlttf+3wa+fp4InaJ8jQiXBWJCDUj3NunE7+2K9OnUrPNSTIGIA5S080EuPD53bR1+qmdYeNzEITueVmSidnMm5OLpZs/QH2+PWh969/pXXxj77UPgY7V7Ru3TmsB+ogZFnGZNXStsvG8ld201TdT3GllcwCE0GNRF2DnXXvNrHtL7UEBoJo07Wsru8la7ogYN2NwuRfMKS8hc0rFLLSTAMNvZ6Dmtm74oQsP13UCBwKg0bFrrtP53/OqCQjHu6TDkLI1LnCRtByyffRd9ZR0bIMXV4OklaL7B8ervZt3YI2KBIcHD0+csvNZBWbaHcmvYKyLEK6XkcIR68PS7aezCITaZk6SqZkJrpDaAM2cvqqUSoFmR9MOtDH68h9vsvC143RFIa9QJKktPjrX0uS9HoquzKFFFIYDTodfpQKifEZonBojz+KfvLkxPvKCRPRlJcPI2RyNErM60WdlwdqNYHtQwhZkSBLCoMBTcnw/oTqgkIkfXJiV+bl0bXVT7O1ltKcIpQZ8Qnqt3cz8MQ/iQ4MoCmvACCrJPnUnz6hmAlbt6CbJDxiWdddS+m/nhdvhsNox1Rgyt63cdzg7yPDsZuZs9RYg2rmdC9AoRAqnLUiB4OvCyMaMmPKYdv5HGHG687G7LmMUP8pRJxzsHtF1teal3YjKyXmXzmJK/90PGddW0X+GDG5Dm2188zC55itnounzsmYsAJ/OMr84vmsvUgY+7f1bSPPmEckFuHsN87mf9b8D6/veZ0GZwNmjZna/tphE/PftvwNR9DBQwseYpx1HCZZJExo9Ic3sJKWKe6Vuk+7WR5vq3TWtVWc/6vZoy7R8HXBv7Ua74YNyJEvbgYPdYtQZUf1Tl7bIjKPt7baue31WmIxmdter+Wuzi5ckShzA2rCkox5eibr9vSzut2OIQrb3mpCjURWTIFdinHl0xv5VXM7C38gPIiZhaJI6yDs3hBWo4YZJVZ2drm48cWR4eqhaOzzolRIFKYLYvPopTN5+PtJlVWvUSJJEtmG+L2hUO5rNwloSkvRjhMPJe4PVxHp70eVnY3CYBjWOkmWZQK129EGkyVOyqZmceHtc1hQezfHfXLHsP32t7sFIcsxoDdpuOKe48grt1AySRCviXXPo5CjGEyDWaBChdSb1Mw8rZSsI5wQMhqF7E5Zlt2SJM0FTgOeBf5+eIeVQgop/Deg0xEgz6wjP/5D3eIKoUxPZ8el1/G7o69kxuKL0ZSXExxCyAZbGCnMaais1mF9MAcJGYB2wgTxQiX2rS4sQGFMEjK/LouYX6IlYweFpsKE72woNHGFzFKQji7eI1JnVA8LfUqSNOxzNRVjMBbs2wSt9wvjeV5afFIZInjoigsw+noAibFhJXptmJxeUd7D443y0Af1vPFZMqnA5g3R3+ahc7eDlYoAr27vpDMYomxqFnqTGoVKGlbJ3d7txdEtPtcsC0IGkK5Lp8BYAMB106/j1tm3olVqWdG6gt9+8luOKziOG2feiDvkZmXrSh7e+jC+sI/d9t3MyZ1DVXYVL5z5Ar+bfY8474eZkA2G20AYtC05etIyDtwJ4EjB19EJ4TDhjpFlOj6PnvvuY1flxBFqVE216P5Q5Ollazzc/NwnLfxnQytb2+ys2NWLXSHzkM7Hny1+njAHebKug8ue/IzuSBglw0nq+y1Jr1/hRCuSghF+O5svRKZRww0LxnLJUcUsre3CHdh/Ha7qNgcTctPQqQXROnNqPmdXFYxYL9sYV8gOknWrMBioWLIE/fTpuFeugEgEVU6OIGTeJCGLud3EPB70gX6U8U4VOaVpRLq6kG396GLexHKA+s+68diCiU4Jgxg7K4eLz1eS4RDn2qCNoVIrEg82kgRlW59L+MuOFEZDyAZjAmcBf5dl+S3gyDd9SiGFFL7x6HD4KbTqydKJSaPJGUaWZR4zTiFy3AkUpBvQlJcR7e9PZFZG4+14lGnmhMdLlZ0NSiWasrLEvrUTxgOQtnAh6oIClCYTdpI/5gG1UL0kUwSD2oAyc2Q1eW2FUMiU5jRmVv+FDG/TPnv7qbKzQS0mG+2YCtKKsoe9X1aVhUl2kq4UoRVT1IHBokERV3TUUR/KtDRyZo4TnwcUaQeY1PACxCL0OWOU1fm5waVHEZ+v7b4QLfEssV2aKL9fuotT/ryGhj4PkkLClK6ld0jNKXuXF3u8BII5JhEMJ8O5EzOFUnJ84fFcMfkK1ly0hnJLOSeXnMyD8x/kxKITMaqN3Lz6Zh6veZyrV1xNs6uZ8nRBWHUqHfEIJ1rD4SVklmw9F/+/oyiZLK5DwVcYHv0qIcsy4Xi4cegDRSQa456lO2n9nDfL9uRTALg7kr1Ie1wBtm3ZA4AuGqZlVyOyLLN2j3g4+OfaJqL9fZxojiBLgFJibI6JtXXdXLZrOSU5I6dwhyL5FFDv8PFmRoQtacllovVRGKtBg0qp4JxphURjMp80DIzYF4gaYtVtjmHmfYBA/W5CbcOzkjPjIUv5c/6++m432ztGdlbQz5wpMq5hnwrZ4PnVmnTMr/09V957PMWTMhK+UuOxx6CJ93hVKCT2xvuilk4f/v2UJAlakp0gKvKDzDqzLJEd7Fn9EY6XXybcOrxbxteN0RCyDkmSHgcuBJZJkqQd5XYppJDC/3F02P0UpusxSIJlNDqC1HW72dvr4Zxp4glbWy4m/cGwZcwtSIYizUTGpcJ/FbHZKP3X81i///3EvtMvuIDc22+n4H/vpey1VwG4Yd3PiUmgzMjA5xOfabEKxUVpHa6QSRoN6sJ4YVOdjrJf38z3/ng6eRUj2+1ISqWooaZUoikpQZOXwzGf/oZTpohw05iZ2czrfR5zuTimmNPJpOMLGH90LicqVnD8wMtiveu+jyYeftE52tBXVKAiQETWUBgQk9ikkFAhbN4wLdsH6FPJ+Ib84rbbRZjSZNUNy0bsa/dg6xKTWVpMSihkAJdPupxbZt1Cll54zwxqAw8e929+d9y9GNVGFDYDv55zJ+nadM4dey5be7cSiUUYY0mWKgj5hYJyuEOWAJkFJvLHiusw+P83DTGXC3VYqDOu3cnJflu7kyfWNrGkZnirH0kjdIxr7hb3gizLXP7kZxjdtgSBiTQ2Un7bMvo9QTQqBe/WdnH3J09y8yfPAFCeZaSq0ELlQDOX1n/ArW1vETwtl1fTQvQqBen68Rnjef1nxwFw2+u17I6E+deWNuq73Uy9azlr9ggVN8MoxjOzNB29Wsm6vcnMzaFoGvDiDkSY8TlC1vSd79BwyqnDlmXG7421DcOLt9719g5ufbWGz8MwJ+m/VOWMJGSD/jrtxInITjuGNDWSJOHbsBFJq8V0/PEJf9mx3xX3aqsJnto0si9seEhtwzJTP7PPKEv8PfDEE6gLCjCfeeY+z8HXhdEQqwuB5cDpsiw7gAzg1sM6qhRSSOFbj2hMptsVoCBdhxwRk/kH9QP8+s3tKBUSZ04VNYU0nyNkg0qZ0mzGfPbZGObMQX/zNUhTK1GajMTkGFt6tqDIyiTjistRaLWorFaC0SC77HUE1RLq/Hy88X6JWVliQldoNChMIvNK0ukwn3EGkjLpdbFecAGaosL9Ho+muARNeRmSRoMyPR2TJoSxawdn/qyKcbNyifT1oSkpRtKKnptHn1PBwh9MwhzsxaAWY9GNGcMxrrfJiHRhbf4M7ZgxGDQxZJUxoWxUxQmZvclFT6OTvcrh/qSOOCGz5CTDqjmlaexY05Eoh2COSXiHtB+alTuLH05JJifIsszJD65h7r2raNnez8v3bCT8dj4fnLOS66ffgCloRRFTUmGpSGwT9EVQqRVfS7NugIpp2WQWmhJK2TcNoe7kBG+vSxKyrc0DlDs7aehK+p5cgTAhsyA0eQMd9HuCdDsD7O52M0UTRDdWkIkcnwhZ6tVK/vd7Vczs3c1YZwcGWx8V2UaqitKZmG8mLSTugVB9PdMnZtGkjNIfv3/Om1fKpHgm5J5eD4Xpevo9If7n9RrcgQj/+lSoQIOETKtSMm9cFktrugiER7asqmkXx1FVvG9iHGxoSLzO1It796HVjXzSmFTcOp1+Gvs8RGPDw7Wm+fPJvf020k4/HV1lJQrjvhUy3YQJEIsRi/82eNetwzBnDqr8fPSBfkxmJdNPLuFHfz6BtzXBfZbyiPT0oKmoAElKZGmDeNjzb91K+kUXIamPXA0yGB0h+x9E78pOAFmWu2RZfv+wjiqFFFL41qPXHSAakylI1yd8YJJaxeYWO3PHZiUmBE1xMSiVibDP4I+uwpSGpFRS+vxz/CDtZZ7Z8QwAL9e/zA/e+wG/WvurYU/he+x7iMpR/BqZSI4Vtz1AUOmj0Jr0uigzhfcr55ZbKLj3T4d0PLm3307hffeJ45AkDLNm4d+0kfKqLBRSjOjAAKrsbJTp6UQdyclYDgZRaJMeqLwTZzJ93e9Rte5CO6YCs0kipLFgiAmVJDuqIE2tJLauD7VVy2ZthNMm5ya2b7eLyWZo1tzpP52KKu7vkRVglCVc3uEZY7GYTDQSw9Hro7NLhIVt3hAr3xRkonOPg5fv2cSe95xctuUuLqq+jfJ4f0GAkD/ytahjg8goMHLxnUdhtGgPvvIQyLI8YuI/HOhvFgb8gFJNcM8ePm0c4LWNLZT95kYeXfUg5vUfJtZ9+MO9OOMtispcXVS3OrCdNJe7Pn0Ko8uObtJkUKu5ZpKJvfecweY7T+bcGYXc49sMiOLJLy2ew13nTKIyP41sv7i/wl1dVBUKorRdE8U81YpGp0KnVlKZl4ZereS1a46jMF3P1laxzYd1Iqw3+P0DuPL4Mga8IV7fMtILt6fHg0ohMSbblFg29HvnfOedxOsJaYJSeNU63t/Rk1i3yxkgGInR6RieQSlJEhlXXEHRX/6MQq9H0huIDcmyjHR3g0KBdrwI9UftdlzLlhFqasI493hUWVmMaXyLk08Un6vUKPDHYrgDI5Mswj09qPPyUFosRB12wt3dhHt7CcTDn/pp00Zs83VjNISsGbgE2CRJ0gZJkh6QpP/P3nmHSVHff/w12+vt9Q53HO04jo50wQqo2LtGMcZuNCbGJCb+EtNMLLElxpYYNYo19gKCAlKVIk0OKQd3x/W6vc7O74/Znd3lDjily7yeh4e7vSnf3dvbec+nvD/CuYd2WftGEISzBUF4xunsnpNWUVE5OohHchRBJgjMvfNkHr98FH88t1LZTjAY0BcXEdiwEddHHyl3r9o0ueMpKAbpCHSw272bQCTAMxuewawzM2/XPLZ2blWOs27tdvq1j+B/kzXUnTySluZOvAYnfex9lG10GbIg0+V0H1uzP4xl/TANSTjnW044gXBNLeHmFiLtHSBJPQqyaCiEYEyICvvMmcrXhv79sdq0+C25GBDo1EQxIDBaY0QTkRAr7Pg1pBRQ72zzyrV5gxIpWHumict/N54plwzE3V9ubNAGonR6Q8xfUsvSN7fx0ZMb+M8vlvLKH77g40fXY45Cmijg3+1jwnllnHPHSNztAdbNlyMojmAO4Y5ELVDQHznk9WMHg6cWV9P/1x/hCx2cMTgtroBi+5BM6w65fmpp4XBMO7Zw61MLefT5TylqkgvDtfW7FeGydlcHjqAsgvu5GvmqrhON38f45io0ne3oCvLR5+WR4elEp9VgMejwffUVrF+LYUB/kCTSgx7sJj1DbAL5gdj7KxolzdlOSZaFGn2UilmlgCzU5pxXxle/PZ18h4nLx8l/A1ZDIiKcLMgmlmVRUZDGK192r6Ha0eqhb5YFfVKhfrzxBiBck0gPWoPyzcLooX2Z93UTkiTR5QsTisjRu+2tif16olsNWWOT/DcVq/90f/op9T+7EwD7ySejy8zEEPZgi8iRRV8swufyd29QiDQ3o8vLQ5uRQahuN7suuZSdF16IZ+EiAExDK/a5tsPBfgWZJEnPSZJ0LXAy8BJwcez/I4YkSe9LknSDw3F01haoqKgkPMiK080QDiPo9dhNes4ZUUjfLEvKtsbSfniXL6f+Z3fSeI884FtjlwWZOyRHzDoDnWxq20Srv5Urh1wJQLOvWTmG8600Zmy9li+H5VL12RBat/jxGpyMyRujbBP/YNdlf3tBtieWE06Q1/CnPxGq2SUfdy8RMsGYuPiZBg2i6PHHMI8ejWXMGNIykkROzA9taKxorEEv4TDrmTW8gLl3nMjEsiw+3tTE9IcXo7enplcsaQZGnNIHj0W+6JaHtfz3/1awas5W1i+oo2ZjO2nZZvqUZxLyhjnbZ6CPKJ+npDKLPuWZ5JbKqa4Rp8gX8IZtXUSjkjyY+RBEyFrcASXid7B4eP438rFd3Ydm13X4ei3U2j1BWtwBpty/kIl/+Yy5m5pSfu6uqSOKwPyyCWiiUUY2VPHHoYnfc5q3kyZXgFAkyo5dTeglWSwUBLpYvD5J+IgipvJyeaRYU6Lg3/XhRwhmM9k33ghApLUNSRRpPflEzt+2SNkuuH0bI2P1XXlpcrp8+8mn0HnzDUpX5KUn9GVEpo7/NH7I9BwN4/tlUpqV6GYVBIHzRhWysd5JTWwepSsQ5qWVNWyqd1GenvpeS075Jb/XRZdc/zlpZBmNzgBbmz00OhN1jjtaeiHIvAlj2EhzE7r8PLSxa71vtRwxLPvgfQwlJcrfc6Q9Jshiafo9I2SSKMrWGnm5aDMy8C5ZQqS1lajbQ+ecOehL+qK1H/kZqL3xIfuXIAjLka0udMBFwNE/QExFReWI0tAlfxAXxCJk+6rPiBfXJ6ON1Xt5QvKHeGegk92e3eR4+mB6eTiZ3sIUQRZnxu7Zytcao5QaIYtZX2gPgiAzDa0gc/bVuOfPp/Xxx+Xj5+amCDJJFAk3NSmRuThp06dTOudldFlZZCTVgl1+tpyasbpFOjVRtnT56JtpQRAEyvPTyE2TI23ekMhXtV3M+vEIzrp1OHUdPlwx24JOg4SExOSADq1PxCFpyB6ZxdgzS7n47rHM+vEIzBNzKIloOdNnQNRAZqH8Wo84pRiDWcfomSWY7Xoatzu58aU13P3WRoK+yH4tLx5dsJW73ljfo8FpT0z8y2dMuX9hr7btLeHYXMI2T6ogC0WinPjAQn762r49twACYZEzH1/C+U8sJxR7Lht2d1Hf5eeXb26gdekKMj58k60ZfSiZNpEOo50fCPUMcTcgGAxE+g8i2+9ie4uHzY0uLF5ZqBgG9McS9OGvSe1ONI8Yga6ggEhS4Xlo506MZWWK316ktSVFCOlycwG5uWB6RT6lWRZy7SZa//4PZf84OXYjL40zYl+ygLu/fJ7XbpyIOSlaJrrdnBGzinhtVR3uQJhZjy/lnnc2UVy1mlsevYWOF/9L7Y03IoliYh2CgNiVyFRFXU4Eg4Hx5XJE94ud7TS5EtHFHfuJkBlKSxHb2/GvXw9AuKERfX4B2nRZcPrXrUOwWDD0l2vuNDYbgl6P2CHXq8XFtjsYJhoM0nTffYSbmoi0tYMooo9FyAAyLr+cgj/9SX79k7wRjyS9ud3JQu7S7gI6gDZJko7sSHQVFZWjnoYuPw6zHptRh2c/giyeQix6+G9KSiK+vRIhC3ay272bkQ2nEfFKjGo4jRZfC9GoRCQkEhVENJKWzOaEAMvSZ6eM2Imbwx6MCJmg0ZB39924Fy3Cv3oNgtmMcfDgFEEW2FxF1OnEMn78Xo+TWWhH/niVXeozC610NHip1UX5cmcHZw0vULZNLrpetauD208diCRJDL5nLuFolLX3nI4biQa9RFFYQ4M2ygZDhMtHpTN+fImyb2eunlq9yMCwFrcBxZ5j0Lh8BozNQ6MRKByYTt2WDqrSQ2TaDVT6tYrjuRiV+GBDA7OGF6KN7but2c3jn24jKoEE3Hf+MAw6DV/u7GB4sQODVsPmRheVRYnMRrzWKxqVlDUcCMlCMFmQ3fdRFa1u+fuV1R3d9tuT99c30ByLsBl1GnLsRqpbvTy3dCfzlm7mvEUP4zKl8/Wtv+Wxy0ZTt2g0Ykszgc0BjIMHY8jJJWvVJjbWO9lU7yQzdlNhKh9CaPsOHh9rhth4UV1uLrr8fPT5+biam5HCYUK7dxPatQvzyJGy5QoQaW0l0p4olDeUlRFpaUHscnLW8ALlfRKoqpKPW5h43wBK5CmwfgOix4vWloiQ1d/xU7zLljH7xr/wz0U72NTgUgrjp9WvQxsO0fLgg0jhML5Vq4gG5JstQ2kpYlLpkOh0onGk0SfTTIHDxBc7O9Bp5L+1smwra2oSgrInMi65mPZnn6X17/+g+B9/J1RbS9qZZ6DPzQWNBrGzE+OQIcrftCAIaLOzExGykPz3kVW/E/c8D50v/heNwYD1xKnya5KXh6GkBF1BATk/vUOOiklRTOXlPS/oMNOblOX5kiSNBx5AHhy1UBCE3Yd8ZSoqKsc09V1+CmPO3lI4sk9BlvnDH1L8j79jP+MMCu//K+mXXqr8LC7IOgIdNDa30q9jOEaLjv7to2ht6+DTFzbz7B2fo5G0YBSRDZtgQ/4iJl5UlnKe9PPPI+/Xdx/U9IR1nCy2rBMnojEa0RcWInZ00Pna69ReJ4/VsU7YuyCz5ieK8y1pBs66ZThjrhrEIrMc8SrJTKR3fzGznFtO6s+gPJsys7LBGSAkRpEk+M+ynfhDIr4cOXW2zhhho1GkJuaJtXBLC3M3NdHoDFCVJb9OjdrUaFayOPM5Q9g6wrS4goT8iQjZ88t38ZNX1/HW2sSl4MF532Ax6LhuSj/eXLOb0x5ezEcbG7nk6RVc+/wq/rW0mll/X6qsO5lmdyKt1eQMMPPRz3v0rdofyXMZ2zxyU4MkSbzyRS1vfyUXrPfNtPS4bzKvr67DHhsAPrY0g/L8NHa2eWlyBTh/x+fYg15Wzb6L31w5CY1GwFjSl3BtLYGqKkwVFVgKC8gJunh6cTUfbWzimgpZhMZrELPqE9Er84gRsvlwYQFEIrQ98wzVZ5xJuL4eQ2mpcvMQaW0l0pqwpog3yoh71FLHrSKiTlfK42JnIrUY3FKVOE40infZMgCu3TafCWWZfL61lZF90vnXlaMY0/xNyvlcH36oHMtQWpqasnS60DocCILAuH6ZfLihkV+/LY/kuuSEPmxt9rC2tpOadm+P45o0VivpF1+Md8UK/OvWQzSKcXA5GqsV87BhsXOWpOyjy8wk0t5Gy2OPEXnpeYyREH+Z9xANv/glAO3/+je1s+WouS4vj9w7f0b/D95XPgMcZ58tj2I7CuhNynKWIAj3A88BNwGfAb891AtTUVE5tmnokj3IXHPn0fXGG6Dfe0BeYzJhP+00BEHAce65FPz+XuVn7rAsyPwRP+GNdgQJpl42CI2kYdWmr9n6RSJtaR8Yi7JoJX5y62VMGnJCynkMpaVkXn31wXuSoES/bFPlu3DbyScB0PS73xF1OtEVFuwzIqdzJMY2mW160rLNjCy3EDM954zKRKSjf46NX8wsZ0JZFmtrOomIUTbUJS6IDc4A3pCIr8hMVQZs1csRg51t8gXwt+9t4q431rOzzYspx0z45Fw+0QcJ95BiLB2WhcVhYIJXi+gMEfCEMdtloRcXS12+MBt3Ozn3iWV8srmZG6eWcc+sCv49eyzuQJh73pFHHy3f0c7jn8rdnO+vb+h2Md7VlhBST3++gy1NbmWMUG9p8wS5+60NKd+DfGPgDiaSOnGhtS92tvk4s7KAaYNyuHhMH8pyrNS2ujAt+oSZNV+wuaicG2afpkRqDH37EvX5iLpcmCoq0OXlYgn5Kav5mtc//h1TkEWoaYgciQls3gxA5rXXkjlbfj/GTZCdb7+jrMNQmrBZibS2IrYnBJn9tNPQpKWlCDIpGiXcKvuMRb3elJFOYkdCCEeSvg4nmbuKTY3844rRTOqfxZ3TBzEp3Exa2KfUc2qzsnAvXKSkLA2lpfJ54uLQ5UKbJovPH0wo4cSBiff9jKHy87vgn8uZ9uAiXlrZ3SsMYjcvokjnyy+nvGaWcfLfsiYzi2VJnmnarEzEtna6XnkV7YK5FHtalZ9p0tKUdRuHDMFYWoqg1aKxJqKDRxO96bI8A1gLXChJUrkkST+UJOm5Q7wuFRWVY4ydbV7ufH29UqRd3+WnKN1E0x/+AECkoXFfu++VeIRMG9WRVzOYYN92SofLH/TZ3kKiJNJ4cZf9jFwbFTmHp2vKfuopZN9yC2mzZgFgHDhQmSiQ85Pb6fPkvifNaex29LHnqNFqcH30ETsnT+bN4BK+/v0MhhV3b146oTQTb0hkc6OL9bud6LUCg/PstHuC+EMRTBYd4lAH4Zg+3dXuZXuLh7oOWZysrukkP81IdomdELBgc7OSPtzR6uG5pTvRaDWUn11KWlTgHLceSZJd9Du9IXbFCr8bnQFeWVXL+rouitLNXDtFtsk4dUgeJ5Rm0hGz3rAbdQzItTGmJIMXV9Qw5k8L2NmWKN6OH6/ZFeCDDfL7JBCWU7ZTH1io1Mcl0+wKpBToP7VoB2tru/jtrAoyLHpFkG1pdKfs5/SHCUZEXvmyFncgjHOPjrxQJEqbJ0hBuokXrh3HeaOK6Jdt5cSdq7ju8xdIC/mYcftsctMSViaGksRcVVNFhTI8+4xdK7EHvbg/+AD0eoyx1Fjg669BpyP353diGSubo5orK0GrJbw7IUTjHn26nGwirW1yLRQwYOFnZM6+Gm1aGqIrKWXY0QHhsPL+i3v6AUQ6EyIsOVoWT3GaKiuJNDXjcLXz0pXDKZ/7Gl2vvw5aLTl3/ASNw4Hj3HMR29qINDeBTqfUfsZFoeh0oo2JoBNKM/nvj8bz7NVjeeDC4fTLtjK+XyZTB+VQlG5WphHsiXnUKAS9Hvf8+WgsFvTFxXiCEe6WA3VUjYpmMwAAIABJREFUS2au/NcXyk2BPi+P4LZtiF1daBt2U+JK1OEV/uU+ih5/jAEL5lP29ltHrRCL05uU5a3ASqACQBAEc3zYuIqKikogLNLsCnDaw4v539rdfLyxCVcgjDsQoTDdjDZWSB93Kv+2xIv6M3z5mCJWbOUiBpOOiM1Hpq8Q0ZSoFRpa2Q+9UUt6UqH8oUZjNpNz+21KTY4gCGRdfx2OCy4g66abZFPLfe1vNDJh/YOcXiz7IbU8/AgAofffxejpOW03rp/cJLCyup0V1e2U56dRkG6i3RvCFxKxGrUMypM/pocUpFHT7mPe1/KFqizHis2o45Kxfci1y00CN7+8VolIvbSyhj98sJkWVwBNoZmtBpHMqHypmLurjVF/nK94WtV2eFlf18XkAVl8/ouTsRoT0achMXPSdIueDfdO551bJ3Pn9EGUZlnwBCLc9cZ6Zdtd7V7+u7KGmY9+jjcWzapp9/LlznZqO3zsShJvIKchz39iGQ/Nk21PXIEwr66qY9bwAq6d0o9sm5E2d4hOb0gxKL1mUil2o44uX5jnl+3i7rc2cuIDCxnx+09S/LGaXbFmFEdCcJVlWzlp91cABGddiP3001PWowy612oxDhqILlcWZJMb5HRduL4e89ChaDMyEIxGpGAQXVYWgiZxCdbl5GCbMiX1uLH0nGHAAAKbNhFpb0cwGtHl5yNoNLKnVlKELNwsR4vjKbhocn1XZ1dCQCWJs8DmKtDpsE6ZjNjRQfU551J7ww20PfEEznfewTJqFBlXXMGg5csUP7BA1Ra0GeloM+R0e3wNUadT6YiMc3pFHpecINd1vnrDBF68dhzj+2WytraLUCTKf1fWpERoNSYT5lHy4HJjeTmCRkNdh49PMwaz+sZ7WDV2BgDbYx2b1kmTEj6HYoQTmqsQEZjzx5fxnzCZtOnTU2bTHs30JmV5PfAm8HTsoWLgnb3voaKicjwx6+9LGX/fp8Rrsne2e5ULXKHDRHh3PY5zz6X/vLl7PYYvnGp98EH1Bzyy5hGiUhRXSK6FcQTk4uZ+pfJFxe/oIstbhElI1ARlZTo46crBjJ6ZWmdyuEm/8EIK7/tzSkPBvjBZBOzBVqRwmHBjI/YZ8kXH+fbbAIR217Pr8iuUou68NBNF6Wbu+2gL6+u6uGRsMZlWA+0eWZCZ9TomlGVhMWj5wYS+BCNRnv68msqiND66/URW33Mapw7JI8ee8EeLR6y2NstRla8bXLR6grRpEunFZ7+qZXBM6KWZdGxt9vBNk5uRfdKV4v44Qwrk7Qbm2pTXYVL/bBbddTJXjO/L6qQC71e/rOP/3tlEeX4a79w6mQtGFbGrzUtdh/w+at7DwqLVE6TBGVDWunBLC55ghKsnyr/3bJuRuV83Me6+Bfx76U4sBi33njOUi8YW0+QK8M9FOzDoNHT55At5cr1aU0yQ5TsSF/ERVpGRbTtwXXQVIx78Y7cLvL6wUDYwHTAAjdGIceAA0GrRkHjtzGNGIwiC0h0ZL9ZPJuOKy0Gvp987b1P65ptKp7F1wkQizc34Vq2ShVzs9dQ6HESTuhwjcUE2SJ7zKrpcSNEovjVriDQ2osvPR2OxKClLSRRxf/YppiFDMPSRRWXU48Efs5cAsE6biiAI8viw/ETjgC49A60jVZCJLheapBT8nsTXPbokgzZPkHve2cj/vbOJ99aljpkq/OtfyL/3d+Tf8xsAuSFDENhQXMn2LjnqWh17v1qnTFHmzAJMatxEkzWL/65p5H89GN0ezfQmZXkrMBlwAUiStA3IPZSLUlFROTZw+sPKnerN0/ozum861a0eGjp9ZPqdFElepEAA04jh6AsKejzGk+ufZPyc8VS1y6mTsBjm7iV389ym53hmwzNKyjIuyE4cItdsjR4ylPRALmKSZ6egERg0Lp/8fseWR6HWnobodsujYkQR29QTMVVU4Fm0GAD/mtX4v/oK/1dfKftcMLqI0iwL/3Ls4lznN3JUyBPEF4pgMWiZ2D+Lr38/g/NGFmHQanAHIpwzohCTXqv4UxWlJ4RFdcySYGuz/P+meidt7iBtsaJ/SSvgFeDmk/qz7c9ncMnYPtR2+IhEJUYUdx8AHo+QDci1dftZPMIHcNkJfcixG7l6YgkvXTeeQXl2SrKsNDgDipFoPGq1u9PH1mY3W5vkx2s65Ivy4q2tZFj0jOwjR2PTYs0HlUUOfmmo5c9p8gU/3WxAjEo4/WHuO38Yd80YHHvObt5dV8/D87cqvlnJEbLAiuUIUpThl5/bo8gWDAZM5eVYxo8DQJeVhXWyPE9SiIk3y5iYH15s/2ST4Ti2adMYvHIFpvJyzJUJKwbrxAnyOjZuTLFs0aanRsgie0TIRKeLuutvoObKH+Bfv16OamVmInbIYtj18VxC23eQde0P0eUnpkGAPPvVccEFOM5N+MDrC+Q6sKjbrVi8gOxFJkUiRD0epYZsX4zuK/+eXl8dm3YQSR3ZpC8sJOOyyzBVyGUHLbEO2UZngOpW+Xcev4HQ2u3YpkxRRKghGqHOLkuUPScDHO30xvYiKElSKKnNVAcc+rkUKioqRz3xi/g/rxzNGZX5NDgDfL61leaP5/P8J/eTc/Jf6QLl7ntPtndu55/r/gnAgtoFDMkawqe1nyo//3jnx1RkVZBuTMfhz8FvcmE2yxfKAf2L2bZAvrCMnlFC/9HdIw7HClq7najLpdQP6Yv7YD3xRNr//W9ZqDXKdVWhmhrcCxYgRaPcOX06d04fzI6ZD9C1sw9ZV/6SYMwR3WKUBZcgCFiNOib0z2LJtlbOHlGYct7cNBPz7pjK3z75hvV1TuZ8UavYQ3zd4KJ/rpU2nXxMn0EAAXLTjOi1mhRz31F9u1tT9smwMHNoPjMruwvxuFgD+PEpAyjOSO18LM2Wv4/bJLTEBNk5/1hGhzfEr8+Ua7HqOvzMfPRztjS5OXtEwoKjKRZRu9vWjP31x0GjwTulAoc5IToqi9K4aEwxc76o5fHPtitu8pePk9+r+Q4T/vXr0RcW4l2+HG1mZo8iKk7JnJdTZqMW/PFPtDzwANZJk2h56CEso0fLr/nPfkpw23aybryhx+P0VOek79MHfV+5kzO5Q1jTU8pSq8VQFp8PW610UII8qSKSmakU5bvnzUNfWIh9xowU3zIA28knU3jfn1MeizcegFxzpk2XxZfY5UzMoO2FYXt5vp1Ch4mGmPhtc4f2uX1LrAu3octPQ2xqQnWSp1nRQw8iRaNsmTgJTSTC6lxZaNcfY4KsNxGyxYIg/BowC4JwOvAG8P6hXZaKisqRZkHNApzBfVsPxO9WB+XZEQSBshwrLe4gdeurZGfy9XLqI7noOZnVzasByLPksbR+KZIk8cLXL1BsK2Z2xWzq3HU4g04KrAWMMJxAad+EoMgqTkRe8krTyC3Ze6rkaEeTlobochGKdbwZiouwTZkMkQjelSsJxxoiWh58iN0/vo3623+C94sv8SxZiuh2E/X5yLIl0o8WvTbl+HeePog/nVdJgaN7Lc3gfDvl+XaaXAHFoiDDoufrRidt7hAWuxG/INEac5rPtcuCeOrAHMb3y2TOdeNTUp/Kc9IIPHXVGKYN6i6Uk608sqzd943Xv8WJpyzjTQJPLa5WfralSRYCZ1QmxMLvzq7ghqll5HzwKoYB/dEXFdH693+QbknUMfaJicBBeTZCkSjpFjnt9cqXtVz3zVxcv/oFuy67nOrzL8D13vtYJ0xIqfnq9nxNphRrF31eLkV/e4j0Cy9g0IrlSjQpbeZMcm77MZpvUVMpCAJ5v75b/kZK1FtpHQ45LRnrWg3X1srmp7Fz+WIR1biQ0qano8vIUAr8A5s3Yx45AkGjQZcnb6MvLsYyYQKOWWd1f45JI8DMw4elRMji9WrafaQsleNoBM4emfhbbnL5cfrCezWOjd8kVLd5CYSj2I06pXMYZBGrtdtZcvPv+fmUW/iwbDLQ+whZWIxy3QurWLqXRoPDRW+Hi7cCG4EbgY+Aew7lolRUVI4sXYEufrrop3xY/eE+t6tukwcPl8SiJWXZ8t19pE3+YAts3AQazV7TlRtaN5BtzuaSwZewuX0zT6x7gk3tm7hu2HWUOEoIR8Ps6NqBzWBD6tKTnZ+4+07LMqGPRYLMad+tYeBoQWu3I7pdhHfXg06HLj8f88iRCGYzvlWrlAhZMrWzZ1N3/fVE3W6iXh9ZtsRrYDeler6N6JPOleP3XldXmp0alTlnRCF1HX62trjJSTOytlDLZ3r5ohifFlCabeW1GycyacC3N9lNNoFNdoyPU55vR69NbNPsDhCNSuhi+3V4Q5j0icvXsl+dwpnDEu+x0X0z+OWUIgKbviZt+gzSzjwT/7p1pEeD2ENekCSlASGe/fnFjHKmDMhGI0W5sGoB7rlzMfTtiy5WuG4/7dRv/TwPJvaTTqLo0UfIi40WA+T0oCgSrq3FNXcevnXrMI0YrkSp/Ovkxom0GdOBWBdkRgZiRyeRzk7C9fVKWlBrs6Kx2TBVVFDy/H+wTpq0z/WYKofJ0Ty9nnBjI+EGOS3cW9Pli8cUY9TJv8OPNjYx4g+fMP2Rz2mPdcc2uwK0eYLc9spX/GfZrpR9T6/IwxcS+dOHVUx9YCHrY9YvdYUD2VmY8BSLz9PdH88v28WCqpaDNv/0u7LflKUkSVHg2dg/FRWV4wBfxJfy/96obvXSNzMxeHhcvywKHCYyAnLUIlhdjTYrc6+msBvaNjA8ezgXDLyAt7a9xdMbnqY8s5xz+p/DmmY5utbgbaDCVknQF8GRnYjwCBqBrCIbTdVOLGl7N509FtAXFuCeP5/Alir0hYVy6kurxTxsGP61XxENJC4slgkT8K1cqXwvhUJEvV6ykyJNk7+lSJo+NJ9bT/ZwzaR+1Hf5cfrDvLCihq9qu7hoTDH+LJH2jV7Mei1248GZZ3np2D4s3d5zREIQBMaWZLKiuh1BkCNkrZ4gkajEhaOLMek1VBY5uPstOaKXXAsXx/fllxCNyvVXgkD700+T9eaLvPzxm7w26BRAtim57ZQB6DQCZ+eITC508axbjkBlXH0V2ddfjy4nB9HtRmPrXgt3uElLGkwPifRg/V2/ILBB9mCzXHMNGqMRwWgk0tiIYLHgOP98Ol54EVPlUEK7ahA7OxUvtLggA8i/916MsXTnXtFoIBpFnyfXadmmTcX53ntoLJZux9sXA3LtbPr9DG5+aS0LquTaNzEq8cnmZi4aU8z4+z7FoNMoqeRkbjl5AG99Vc+/l8pp1iueXcnrN03EHxLJsBj4wYQC6jv9fLixEac/jMOsJyxG6fCGyEuyKwG5S/yxT7dxSnkup1fkdTvX4WSvETJBEF6P/b9REIQNe/47fEtUUVE53AQics2GP7LvO8xtLR7KchLRlUyrgWW/PIXT8uSoh+TzoYuNK9qTrkAXNa4ahuUMI9uczQszX+APk/7Ay2e+jF6rZ/uzIhevk92200U57WXLSE1vZcfSlnHD0mMV26mnIoXDeD9folgLgOzJFKiqIlSdqO+xTz9dMbyME/V6ybIZKHE1ohcj5DtSLzr7Pb9Rx10zysmxGxnZJ52hhYnjjy3JYHC+nEK0mXS97hzdH/dfNJxlvzplrz9/6JIRnDksn1nDC2lxBZRRPueMLOTP5w/jkrGylcKFo4u77etZsoSGX/8GjcWCecQIzCNGoElLQ/f2a+glkQu3LybS3k7U72dU3wyeuXosrT+/E9/PbufHbjmqlHHppUonpNZuP2jP+2Cij41HiosxQLGMiPuBGfv1w1RezoDFi0m/+GJ0mRlIwSDez5cAqQLKMeus/Qqq/p/Mo99b/1O+z77uOqJOJx3/+Y88pDu9e4PHXtev1SjNEycOzKYky8LHm5p4JzZVIVmMWWOR1HGlmQzItdEvFtW9cVoZdpOeX/5vg2L58uszh3DGMDkFG09b/t87mxh/36f4Q6kNBCt2tOMJRpg9qfSI/473lbL8Sez/WcDZPfxTUVH5nhIQZUEWF2Y94fTJHZYj+6R+AGs0ApoknyNdVndB5gq52Na1DYBBGXJ3VJ41j/MHno9BK4srZ2OQLL9cZzIuTU6fWNNThVfltCImnt8fQy/c149m4sOlAbJvvFF53DJ6FIiiHJEoLIw9NhpTrKMsTtTnI1MT4anP/sZ/dr97wOvJthnJi6UmxyQJMqevu0HroaIo3cw/rxzDwFwb7d4QFz+1AkiMPtJqBNb/bjr3XyiP1Im0tdH4f/+H6PHS/syzaGxW+jz7DILBgKDX0/ff/8Z69z38cvJN6KMRdl5wId+MGk1gyxakSIRg1RYAOue8AiRMWY9mLBMmkHf3r7BOnow51jQQn8tojPnfGUrkVLU+Lzc2okl+H3W8+CK2U075VgIKwFBcnCLazCNHYhk3DikUwjxs+Ld+DvGU9fBiBzMr81m+vY2nFu/otl26xcD1J/bjH1fIgvPUcjlCd/XEUq6eVMKmehe72r2YDfJnQTxqujuWtnxzjdww0+VPbSD4dEszFoOW8Umdv0eKfX2K/UYQhDmSJC0/bKtRUVE5KgiKch1HT4Jsc4OLmnYvhlj9x9jSTCRRpP7nP8d+8sk4zjlHqSEDeWxJMuFomLPfPhuHUU639LV3L/gX9xjlU6obSDVVWBypEbKsIhtZRUc+lXSgCBoNuXf8hHBjozKzD8A8ZiyCXo8UDpP7i7swVVRg6NsX65TJ+FavVraT/H6E1hYAsr5acVDWNKzIQSDcSf8cm/K7DvUwYulQc8HoIppdAV7+ohaAwvRE9M9hTqSqnR98QNcbb2KqqMC3ejXZt9ySsJoAzMMq6VM5lGkFWzEMNxB58nEAPAsXEvX5QZLI/OEP8SxejKly6D4L+I8WBEEgc/ZsMmfPRgqFEJ1OpTyg6NFHcX30oTIJII59+nSybroR/5q1FPz5TwdlHVnXX4/vyy8xD//2gswSE2SVhQ4K0808vbiaHa1efj59EH//bDuVRQ7W1HRy68kDuGJ84rPitlMHcsqQXIrSzUwdmMMDc79hS5ObiWXy503/XBuCAFWNLk6vyCMSm0TR5QunNLcs3trK5AHZihXMkWRfgmwb8DdBEAqA14BXJElad3iWpaKiciSJC7F4pCyZJxZtZ8HmZn4woQS9VmBEcTqRtnbcH8/F/fFcNDYb0aSRLXtGyKraq+gIdNAR6EAraCmyFXU7h7stcd7PLvqM2iUxE0hH94687wvJfk9xtDYrA5d8jvP9D7CdcorSmZd9000Yy8vZfdPNyrahmsRswKjXe8BjYn51xhDaPEE0GkHpSOypY9K9cCHt//o3JS++kGL7cLAozrDw5/OHUdfpZ3enD3H9OnyS1E1oeJfLsYO2fz4JkoQ9VsiejCAI3Dl9MNJpA/FPGUfTvffiXbGSQNUW0GrJvulG8n75i4P+HA4HgsGQYjartVnJuOSS7tvpdOTeccdBPbd1ymSKn3oS67hx33rfm6b1pzTLysxYl2xRupn6Lj/njSqiOMNCcYaZsaXdo1cOs55J/eVayYqCNLJtBto8IaKxzss0k54BOTa+qu1M2a8rKcorRiUaugKcO6L7Z9CRYK+CTJKkx4DHBEEoAS4D/iMIggl4BXhVkqSth2mNKoeQBk8DmaZMTLpvV3Oi8v0mHiHrqYZsV5uXYCTKG6vrqCxyYDZoCXoSAsyzcFHK9tqs1A/Tr1oS5qYF1gL02u4F+c7WxHntpON1dmIw65SuyuMJbXo6mVf9oPvje/g9hXbuUr72rV2L7cQTD+i8A3JtiqmrRiOw8u5TUyJSyrlWfoF/zRrCjU0Yig/dhe35a04gKklsGyobpg7+aq3imB8NhfCtkiOGkdZWDP36KeaoPSFoNFjGjME6eQodzz8PQO7P7+yVh5ZKdwRBwH7SSd9pX5Ney3mjEu+bG6eVsbnBFRNjln3smUCjEfj59MH86q2NZCdZsIzqm878zc0pw+ydSSnLTl8IMSr1aNtyJOjNLMsaSZLulyRpFHAFcD5QdchXpnJYuPSDS3m56uUjvQyVo4y91ZBJkqTMFXQFIswYmnDujuNfFxNcOvl+T5eV2vG3tnmt8nXftJ79yZytie7OgCeMryuINf3o+NA8WoiPrYkT2rUr6esa9qT5/geo/dF13R73fvEl0dC+jTlBNkrtyaIi0tqqnL83x/muaDQCmnDi+K2PPY7z3XcJt7TQ+fIcJL9fmdVonzG9VwXaabNmYRw8mPx7f0fmj350yNau0nuunljKXy/89qnPy8b1Ze4dJ/LbWYn6tlF9M+j0hfm6waU8lhwhi/ubHS2CbL+VsIIg6IGZyFGyU4HFwO8P8bpUDgOSJNEV7KIj0LH/jVWOK4KRWA3ZHinLVk8Qb1KX0lkx7yfRnTB0DG7bDsjjW4JVVUgZabhCLuZUzaEz0MmqplWUppWyy7WLPvY+PZ7f2ZKIkPk9YbzOIFbHsd1JebCJu6THCdXUyCJYFFOGRwNIkQjOt99GdDoRPV5lEHpodz21s2fjOPccCu+//zutI9Ii167V3XwzGrOZ/nM/RpeZiSRJtD7+OPbTTsM8dChSOIxvzRos48d/p2620K5duObG5qFqtUpkK+2ss3DNnYvttFOxn3Yajb+6m7QzzujVMc2VQyl7Vx3N/H2hPD+1+zg+omvOl7XKY05/QpC1xTzPsm1HhyDbl+3F6YIgPAfsBm5ANoTtL0nSpZIkqe/g7wERSTbBC4mH7q5W5dhkb0X9u9rkyNXwYgdnVObTJ9bxFo2lLI2xDi/BbMYyaiQAT9bOYfIrk3li3RPM2TIHd9jNPRPuIc2QxrDsYfSEuyNx3oAnhEeNkHVDu4f1RWjXLtml3eEg0plaN+NbuxaxqwskicCmjcrjYoc8rNw1d953Xkc41kxAOEzU5aLhbtlRPlxTQ/uTT9H2hDwaq/7nd1F7zQ8JbNy4t0Mp9BRpq73ueloffQyA/vPmUvrGGwhGI+4FC0AUyfrhD3GcfTb93nsXU6zDUOX4pn+OjfJ8O3O+SAiyrpggq233sa5WNpQ9WiJk+0pZ/hpYAQyRJOlsSZJeliTJe5jWpXIYEKNypCMcPXyt7CrHBvHasT1ryOLpyr9fPoonf5DoYIvPsYvP+jNVVKCN+Y994voi5RgTCyYyvmA8Cy5ewDn9z+n5/O4Qjly5PsjnCuFzhr7XBf3fBUGnSzErjbS0oMvJSRkeHcezeDHEuu/86xK9WZF2WZBJwWBKnU1vkSSJSEur8r2usADv4s9pe+ZZuv4ne1V5Pv8c96JFuOfJoq/pj39i6+QpSOGeP3f8Gzex9YRxeJbKMxhDdXW45s9X5nwC6IuKMA+rxH7aaUhB+ebBOGAAglbbzRJE5fhm1nA5ii8IoBHklKUkSVz7wir+Nl8uhT9aBNm+ivpPPpwLUTn8RKJqhEylZ/YWIavp8KLVCN2c0aNJgsz59tuYhw3DOnEC/o0b6bQtVbZ78+w3KbbLRp5mXXd39Tg+d5isQivOFj+ttW6ioqQINJUEWoeDqCeRLtbl5IBWi9iRmrIMbt2GceAApGAI/1cJQSbGBBlApKFBqcHaF5Ik4Vm4CNuJU4gGg0j+hGgvfvRR6u/4Ka0PP5zYIRKh/o6fos3ORuzqUiJk4fp6DKWlqceORGj83W+RgkH8a9dAVKTuppshKttt2GfOxDS0Qkl5xodo63Jy1IJ8lR65cnwJ3pDIWcMKuOO1dTj9ITY3utjeIv/d6DSCYjp7pDn6jVZUDhlxQRa/+KqoxNmb7UXasoU8sOwpdNrUjw7R7QaNBtMQOWWpqxzCuoIgwkO/IRqbPzgwYyCDMwdj1e/fjsHvCpGWbUan19C8Sy7IdeSogmxPtA4H2qTZgbqcHHSZGYhdqRGy0M6dGPuVYa6sJLB5M/V3/pyO/75EpD0h3PwbN3U7fqStjXBzc8pj/rVr2X3LLbQ88qhSP6bNyADAVFlJyZyXKXxArkczjx1D9u23IQUC5Nx+G5aRIxNrqqvDs2QJzvc/AMC3Zg3NDzxAcHMVgsFAcNs22p58Cn1hIaYRw9FYrRTe/1eyr79eOYaxrEz+f+CAb//iqRwXZFgN/HJmOZVFDtLNerp8Yd5b36D8PBKVjrhDf5xj295a5YBQasiix36ELCyGuX/V/dww/AZyLblHejnHPHuLkE19XTbTjIZCiicWQNTtQWOzYR4zhsK/PcT/iht5ZP5vuHjQxQA8O/1ZyjPKe3XucEgkHBQx2/WYbHra6uQ7WUdO71rgjyeMQ8rRFxXinr9A/n7gAKRIhMjahLVINBAgXF+P47zz0NptON99F9eHHxKqrZUnAcQI1+/udvxtU2TrjCFbEo318Yicb81qbFPlnxc98jCW0aMRNBr0+fk4zjkHbUYmhn79MBQXkXHZZegyMwlu264Y2oZqa3F/Mp9QTQ1pM6ZTc/VsEEVsJ52EYDDgXbqUqM9H3q/vJuOqq4h6PGiMqaklQ0yQGfqrgkxl/6Rb9GxucLFxt5MRfdKVoeRHC2qE7DgmHiELi8d+DdmXTV/y2jev8YcVfzjSS/lesC+nfkhNdYFc1K+12RA0GhxnncWHNR8D8MbWN9AIGoZnDyfd1LsRLX63fINgthuwZcj+eDq9Ru2y7IHCP/+ZosceU763jB+PNjMDsasLKRolXF9P42/uAUnCWNYPY6zGDyBQVUW4oQF9375oHA5Cu1MFmRTt2ZVf7JIvYpHWViVCpsvLQzCk/n5sJ05RfMl0mXK3m+WEsQgm+XcarttNuKmRSFMT3pUrQRRJv+xSCh+4H+OgQUR9PjRWK44LLkAQBLR2e7e1GPr1wzxyJLaTpn2r103l+CTNpKfBGcATivDAd7DWONSoguw4Rqkh+x5EyOJpMNXC4+AQF2IRKZLS9BGKmbgmp7pAtr3QxC6Y2zu3s7VzKxMKJpBvzee3E36LRd9zdCvgCfPOI2txtSXZXLidrQ3xAAAgAElEQVTl81nsBspGys7jEiBojo60wtFG8ogfQ79+6DIyQBSJuly0PPoYrg8/lH9WVqY0XQAQieD5fAm6zEz0RYWE6+tTjpvsa5ZMpE0W45HWNtniRKfrVe0ZgP300xm0bCnGgQMI1dURaZLToZ2vvgZAzu23o01LU0xdHRdcgNa299FYGoOB0ldfwTZ5cq/Or3J8Y9TLfyu3nzKQwfl23r5lEp/defSI+aMmZSkIwhDkgebZwKeSJD15hJf0vef7WNTvCrn2v5HKfkmuKwxEAugNshAL6AwYxLBilxAn6nYrEYzVzXJK6veTfk+hrXCf52mpcVH/TRf1WztJy5ZrxPyuWIQszUB2HxvL39qOGD78MxSPNTQWixxJikWjIh2dBDYl6sIMJSVozGb0JX0RtDpC1dVIwSDarCx0Gg3BHakDnZP3jQYCaGKRrUj8dx8O41m8GOPAgSnp630hCAKC1Yq+uA+BDRuUDknPZ59hKCtTImnWCeNJO/NMsn507Xd7MVRUeuDHpwxk2qAcZlbKnZej+mYc4RWlckgjZIIgPCcIQosgCJv2eHymIAjfCIKwXRCEXwFIklQlSdJNwCXA2J6Op3JwESXZ9uL7IMjiz8EVVAXZwSC5mD8eLYtGJfw6OUoV2SNlKXoSEbJNbZvINGVSYC3Y73k8XfIF2ZU0u9KnpCz12DJMTDivjFm3jTiAZ/P9p+yjj+j/qVxHps2QRU1g00ZCO3eSfeutlLz8kjJmqOjBByl+7FFMsUHQ2ox09EVFhOvrU6wvkov8k7s2xaToaHDrVkxDE87ovcXQt6/i8B/HljR6R+twUPTw39Dn53/rY6uo7I2idLMixo5GDnXK8nlkl38FQRC0wBPAGUAFcLkgCBWxn50DLAU+PcTrUiGphux74EMWT7uqEbKDgy+cSCHGBZk7ECFkkN8zLfXbUraPut2IFiMXvXcR7+54l6FZQ3vVueSNCTJ3u3yOrmYfy/8nO/2b7XLUZczMUkqGZvV8ABUAjGWxVCWgz88DoP3ZfwHgOHsWljEJzzjz8OEYBw4kc/bVgCyw9MXFSMEgYlubsl2ygWskydcs0tGOqaJCqRkzVXx7QWYa3t0QOPuWm3vYUkXl+OGQCjJJkj4H9izqGQdslySpWpKkEPAqcG5s+/ckSZoEXLm3YwqCcIMgCKsFQVjduscdlsq34/uUsow/h3jUT+XA8ASTarpE+esOXwgE+T2zu/brlO2Dzk52RBr5pvMbAMoze9dR6emMRcja5XOsW1BL0CefQ3+UeAMdaxj698dUUUFw2zYs48Z18/qKkzZjBumXXUr2LbegjxXfh2plR3MpHCZQVYV5hByZTB7FJLa1o83JJuPyywFS69J6iWVsIglS+tqrDFi8eJ+1YioqxwNHoqi/CKhL+n43UCQIwkmCIDwuCMLTyGOaekSSpGckSRorSdLYnJycQ73W7zXxyNj3oaj/+/Acjib8kSCSJEe4ApEAq5pWcdm80zBFZLHU0biToBjEF/ZR1bAOPF5WuDco+4/KHdXjcfckLsjiEbL499OvG3rQnsvxhiAIZFx9FQAZP9jrvS2CTkfBvfdiHlaJubISAN/qNYguF8Ft25CCQazTpgIgdiZHyDrQZWaRe9fP6fuf57CM6t3vOhl9Xp7ytamyEn2ealWjonIkivp7ymNIkiQtAhYd3qUc33yfasiSrTt8Yd9eu/pUekcgEkASLQg6L4FIgFe/eRVfxIMx9jKH29qY9fYsim3FDNrm5zwJthYJnNP/HG4acROF5kLa6z1kFe076uHtSgixN+9fjbs9QP9ROQwcm7fP/VT2jePcczH0LcE8auT+NwZ02dkYBw6k9ZFHaH3kEXJ+9jMAbFOn0fb434nEasgkSUJsb0eXlYmg02GdOPE7r9FUWUlg0yYErRoJVVGBIyPIdgN9kr4vBhr2sq3KIeRo8SHrDHQiSiLZ5uz9b7wXkkVlu79dFWQHSFAMIolW0HkJiAG6grL3lCn2Mmf6tTR5m2jyNlG+WiSq03LZ5X9gfL9pZJmz+Gp+Lcv/t50LfzmG/H57H2nj6Qqi1WkQI1Gad8r1f2mqI/8BIwhCiulrbzBVVhLcJtcGdr3xBlqHA1PFENDpEDs6kUIhdv3gKqRwWJlTeiCUvPwSUqBnnzsVleORI5GyXAUMFAShnyAIBuAy4L0jsI7jnqPFh2zqa1M5+fUDG52abNPQ6ldrCw+UUDSIJMqi1hf2UdVeRZFuCIZYiV4fn4n7J/8Fg6Bn7E4NljGjObPiArLM8oU6noLcvaWzx+OD7Mgf9EYYMDYXS1rCNkEdkXRkSL/oQuXrcF0dpmHDEDQatBnpiJ0duOZ9QmDDBowDB2CLpTIPBI3RqM6fVFFJ4lDbXrwCrAAGC4KwWxCEH0mSFAF+DMwDqoDXJUn6el/H6eG4ZwuC8IzT6Tz4iz6OSC7qT253PxZJ7hSNR3NUes/b297m3xv/rXwfigaRQrK4WtawDE/YQ5p7NADGwYMRXB5OEQfykP4yCltE0s+alXI8g0lOQ7XWuvd6Tm+sXqxPeQY/fGCK8rgqyI4MljFjGLKlCm2W/Hs3xzohdZlZdL3xJg133YWhpIR+776LsX//I7lUFZXvJYc0ZSlJ0uV7efwj9lG434vjvg+8P3bs2Ov3u7HKXonPspSQiEgR9IL+CK/ou5OcsnQGVaH+bXlz65s0eBu4YsgV6AQdkWiIaMRONJTJBzvkP9Xqalko2U45meA33+BduoySd5YSLelL+vnnpxwv4JUFcsPWLqSo1KPLftyd354lHze3xE5LjVsxiFU5MhgHDcS3oh1TpSzIcu/8Gd5lywjuqCb9kotTJgOoqKgcPI4ap36Vw088QgZyHZlec2QFmSRJvfKu6onktKvqRfbtqXPX0RnsZNpr07DoLESJIIXTEQNFRAwbiUZsGH1pABjLyjCUltLy4IMAFD38NwR96nsn4I3E/g/T1eIjI9/a7ZyuWFozLVt2gD/z5uFUr2vFnmU6ZM9TZf+YBg3Gt2Il5mFy56Vt6lRsUw88RamiorJv1Fud45hkQXY0dFr6I/79b7QXQmIInaBDK2jVCNm3YGXjSu5dfi+dQbnWyx/x0x5oBwQi7kqiAXn0UX/baEwROeqlsVjIuv460OsxDR2KfebMbscNeMMYLfL9XlN1zwLZ3e5HoxWwOIwAWNONDDup+DuLcpWDQ8ZVV1Hw5z+jU22FVFQOK2qE7DgmRZAdBT5erpDrO3dHhsQQBq0Bk86kCrJvwVvb3uLjnR93ezxdqMAt2hADsmHojSecybg+WbQtAo3ZjP3UU7GffjpotD2msIK+MPn9HTTtcNK008mQSd3HlbjaAtgzTWjUoeFHFYbiIgzFFxzpZaioHHcckxEytaj/4JDsan80RMjcob0XgO+PcDSMQWsgzZCGM6S+L3rLts7UEUhaQcu9E+8lL3wxWVYDoncAp2XdyYzSGZjFRIQMQJuWhtbWPRUJEPCEMVv15JWm0byXCJmrPaCmJ1VUVFRiHJOCTJKk9yVJusGhtkwfEEdjhOy7EhJDGDQGHEaHGiHbC23+Np7b9JzyOofFMLucu5Sf97X3pTyznAsHXUgkkE9FYRrLf3UaD581G51GR9TrA0Aw7z+KGfCGMdr0FA3OoL3ew66Nbd22cbf71QJ+FRUVlRhqyvI4Jtkq4kibw8KBRchC0RB6rR6H0UGr7/j2IfvXxn+xsG4hL5/5svKYP+LngncvoDPYiRgVuX749exy7VI6bQEemPYAOkH+SPB5/Vyz8BUyJ96JkC4Pj4765Ro/jXXfgiwSFomEopiseoafUszWL5tZ/Mo3lFRmKfVhoUAEvzusRshUVFRUYhyTETKVg0NyhCzZWPVIcUCCLFZD5jA4jvsuy8fWPsaG1g3s6NqhPFbjqlEK9+fXzAcS6cpnpz/Le+e9x9CsoQzOHAxAfu03DN60nOa//BWAUE0NjXffDSRSlnsjGOuwNFn16PRaKqcW4ukI8sW71Xy9pB6A9t0egP2OVlJRUVE5XlAF2XHM0VZDdiBCKiyGCYU12PRpx33K0qiVuxaTi/UbPPJ0sjP6nUFVRxXVzmreq34Pu97OmNwx9HP0A2TrEUmSKG6qBlA67Tpffx0AjdWK1rZvERX3IDNZZSuM/P5yacGauTUseX0bfk+I1jpZkOX0UQWZioqKCqiC7LjmaKkh0wqyq/uBCLI2r5fa9hAba0N4wp6U53Y8ERbDSir6g+oPiEpRICHIrht2HTa9jZvn38yy+mXcOOJG9NqEh9iV//qCkx9aRHmLHF2TwvKxvMuWYxk7loFLPkcwGNgXcUFmtMrpz8xCG/qYc78YjrLynWqadzox2fRY040H66mrqKioHNMck4JM7bI8OOxpDHskkCRJEQ0HkrIMiCGkqI5Oj/6Aj9UbFtUtYvbHs4+K2rtkGr2NRKUokwonUe+pZ8SLI3h6/dPUe+ox68wMTB/IPRPuocXXwjn9z+GK8itS9l++o51dbV6GdtYAEGltJdLaSnDLFqxTp+43XQndI2QajUBBmQOzXU/FlEI2L21g65fNpGWbVc8xFRUVlRjHZFG/Ojrp4BBKEhNHKkImSiIS8hxNV/C7R8iiUhgkHdGICbTy+KQMU8bBWmYKYlTkts9uA6DB20BJWskhOc93oc5dB8A1Q69hecNyAP6x7h9MLJhIka0IQRA4q+wsppdMT4mMAbgD8vshLeTDEpZd9COtrXhXrADAOnlSr9aQXEMWZ9oVgwkFRLKLbfQZksm8ZzdRMjTzAJ6pioqKyveLYzJCpnJwCItH3qk/OUp3ICnLSDQMkhYxItcktfoPXaflkvolytfxVOCRwhf28ciaR5QpB7vduwEoc5Tx4hkv8rMxPwNgReMKCqwJc9Y9xRhAk1MWYQ+cLG+nLyoi0tqKZ+lStJmZmIYM6bZPS42LrhZfymN7RsgA0rLNZBfLv5sBY3K55v7JjDmj9Ds9ZxUVFZXvI6ogO44JJkfIjpAgS7be6Ap2HcBxQkiSjkgwHUgIk0NBtbNa+brJ23TIztMbnlz/JM9teo63tr3FioYVfFb3GWadmRxLDqNyR3HN0GsYkTMCAKu+ZxPXOA0xQZYbS/eaKiqQQiHcc+dhnTSpR0f+N/6ympd/uzLlsYA3jFanQWfY+8eL1WFEq1M/flRUVFTiqJ+IxzHJEbJkYXRY15B03jZ/d/PQb3UcSUc46EAjaGjwHrrIVaOnEbPOjIBwSM/TG6o6qgBYWLeQG+bfwPKG5fx0zE/RCPKftiAIPHzSwwxIH8DpJad323/OF7Vc/dyXSJJEY5ccZcvwybWZpqFDAZBCIayTuqcrvV09W6UEvGGMVp1aH6aioqLyLTgma8hUDg7haARJ0iAI0SMXIYtF6Sw6y0EQZFpCEYFcSy717vqDtcRuNHmb6GvvS2ewk0ZP4yE7T2+oddUCKI77z814jhPyT0jZJteSy9vnvt1t33ZPkF+/vRGA7S0eGp0BBAHMrg4CgGlohbKt/fTTaNjWyeqPazjxkoFk5Ftpqe25cSLojaSkK1VUVFRU9o8aITuOCYlhJNECknDEzFTjEbJ8az7+iB9f2LefPXomIskpy0A4SpGtiHrPoRNkjd5GCqwFFFgLqHPX8U3HN/jCvhTLicNBWAzT6JUFYYuvBbPO3E2MAdR1+PAEu9uAPLkoYRy7ZFsbjU4/2TYjUlsr2vR0DP3KAMi4+iq0dju1X3dQt7mDtx5cSyQs0lIjv2esjlQbjIA3rAoyFRUVlW/JMRkhEwThbODsAQMGHOmlHNOExAhEdWg1tkNaBL8vkgVZtbOadn87Fv3+rRX2JBJLWQbCIkW2IlY2rtz/Tt+RRm8jo3JHIQgCC+sWctH7FzEyZyTVzmryrfn875z/pWwflaJKCvFgsq51nfK1hITD2PNs1xMfWMiwIgfv3zZFeazTG2LOl7WcP6qIr2o7Wba9jZAYpdBhIrK5FV1uLobiIvp/Mg99nz4AhAKykXDAG6ZmYzutNXKELBqVu2R9rhAfPrGelho3ZSNzDvrzVVFRUfk+c0xGyNTh4gcHWQxp0UTTaPN993ThgRDvsox3ALYFvts6IlIYKaojEpUothXT6mvdbxo2HA3zctXLeMPeXp/HG/biCrkosBVQZCsCQECgxlWDK+Ria+f/s3eeYW6VZ/r/naPepenjKZ7m3gsGG2NjCN2UQEgIIZBAEhY2CaQRkuym7IawWVJhUzb5J5RswoZAIIDJUgwYgw244m6PPR7PeHrVqEtH5/w/vNKRNDNuxAZ8Xef3xaMjnaNX0gy6uZ/nvZ99aJqmP35d5zrmPDKnYIzRyeLJ5idxW9w4zULA+qxj/x7SGbG0vUP0hWmaxroD/Ty/s5toMs1nzqln6aQS3mwZYEdHkKYyD0pvL+bycgCstbV6L1g8ksJTZMfptbL3rW6Ge4SbmYiJz3DLi230ZkSa3XVa/r+egYGBwfvGaSnIDE4OqbToIUP1fiAcMoCB2MAJX0PTNNKa6CEDqPHUoKFxMHjwqOet61jHf7z9H3x+9eeP+7myPWOVrkpum3sbj172KLfOubVgh2hbqE3/+YHNDwCcdMcumAjy4qEXuaT+EsqcZQDjOmTZbLEsbx8c5PrfvsVft3QgSTC53MPSphIiyTRD0RRnNhSh9PToI5PySURTODwW6ueWcnjPEKFBsStTVTSScYW9b+b66WxGydLAwMDghDAE2XvE6x2v82zLsx+oZHdFVUAzoaU877sg0x2yd9HYr2eZacKVmRIQuwO39W876nn7hvYBsLFnI1t7tx71sVm6oyLmosJVgdfqZWbJTIrtxXq4LcDKJ1fy1+a/EkwE2TO0B+CY4vB4aRluoT/WzyO7HiGejnPd1OvwWD3A+IIsGCv8fdvXK2ZIvtM+TJHTisUks7ixBFmCjzS/woI3V6H09WGtrRlzrXhY9IaVVLlIJdKoaY2SzCzK3kMhYqHccxk9ZAYGBgYnhlFXeI+485U7SaQT7Ojfwd2L7n6/lwOIXZYiTNXDQGyAtJrGJJuIKTH2Du5lbtncU7+GjEAtdZQiS/K7EmTZKQNaRpB5TRUEbAG29W1jRc0KBuODTA5MHnPensE9FNmLSKQT/GXfX47r9Q7GBwEothfrx4odxWMe9/i+x6l0Vepice/g3hN+XeFkmEOhQ8wonqEfu/JvVwLgtrj5UO2HmByYjNfqBdD/zSdfkCUVldZ+UZ5NKCr1JWKOpM9h4SJ7iFt2riK5UzzW2tg45lrxqIKvzEmgMpdnVlLtpr89TPcBURItm+ih91DIyBgzMDAwOEGM/2q+B0RSERJpkdn0zIFn3reIidEoagqQUZJu0lqaocQQAI/sfIQb/37jexJ6mnXIbGYbAVvgXQmybEp9tmQZSijMLp3Ntr5t3PL8LVzz9DXj7t7cN7SPeWXzuKz+Mp5vfZ5wMnzM5xqKi/cofyxTvjj7wdIfcEXjFTQPNXNoRMyDPLf6XPYO7dVndo7HQGyAu167i50DO/Vjd712F9c9e924aw+nwlzReAWA7pB5bWMF2Ugst7uyNxTXBRlAmdeu//zFvsKSqq2xibadAyTjufMTmd2TRfmCrEY8d/fBIEhQN7sEACWVPuJrNTAwMDAYiyHI3gOy8wWvmXQNI8kRXjv82vu8IoGiptE0mWRClJ2yYmhd5zo0NDZ0b3gP1iC+8C2yhQnuCe8qrmJjz0YA1Lhosg/GFOaUzqEl2KKn6v9x9x8LhHA0FeXQyCGmFE1hec1yEumEXsI8GoPxQcyyGbfFrR/Ld8hmlMxgRc0K4uk4Lx56EZNkYlnNMmJKTM8MG++at710G38/+He+ufab+jq394uMsJfbX+b1jtcL1i8hMb98PpATZOM19ec7ZK8397O/Lyc6yzw2/Wd7b16emsVCuqiCZx54hz3rxXFV1UjEFGwuMw6PFbvLgiRB8QQhznpaRvAW25l3YS0LLpnIrHOrj/Y2GhgYGBiMwhBk7wFZQfaRyR/BYXawuXfz+7wiQbaHTFWEs9IX7SOairKtT/ReZYXOqSTrkFlkCxO9E3VXKZgIcsvztxxX79Urba9gk7ykY7WACDxdXrO84DH3b7lfHwgOor9MQ2NG8QwafCJv63ieayg+RJGtqCCFvqB8aS/WhdLb3W9T4arQS457hvbw8M6HuXvt3fpOzC29W/j4sx+nJdjCDdNuoCXYwqvtrwK5EuQ31n6D2166jaf2P6U/z9SiqXrP2Hg9ZN3BOG0DUUbymvrv/ut2Dg3k3LZ8Qab09eE+91wAbHUTiceEm5dN409GFdByvWGBSifugB27W2SQxSMpApUuzBYTZ13ZiNVudEMYGBgYnAinpSCTJOlySZJ+EwwG3++lHBdZQVbnraPWU6uLjvcbRcs09SviC7032svm3s0omkKRvYiN3e+tIKv11tId6WYwPsiG7g283f02a9rXFDz+39f/O0seXVJw/tqOtVRY5pH9de4cjjHJP4k6bx0A955zLzOKZ7Cucx1rD68lpsR4s/NNzJKZBeULqHRVYjPZCmZUHonB+CBFjqKCYy6LC5vJhkW24LV6KbIX0egTPVhV7iqa/E2YJTM/3fhTfrTxR6xqWcWaw2vQNI2vvPoVJEniwYse5EsLvoRZMrNncI9+3Xx+vPHH+s/nVJ+j/5wVbvmC7DOPbGDZfa+wo2Ps34hJFmIyK8iScYXocAzbpElYmxqxT59BIjMgPDoiXLnRA8PPuKyexVc3YnWY9OsWVRx9VqaBgYGBwZE5Lf83VtO0Z4BnFi5c+Nn3ey3HQ9tIGwFbALfVzUTvRPYOnXiD96lAlAtltJQPGZmuSJfeR3Zl45U8uPNBYkoMh9lxytagCzKThTpvHRoay/+8nDKHiHLI7lLM8ti+xwBoHmrmYPAgI8kRQskQU+wLKHFbCScUOoZjSJLEVU1X8Zd9f+HS+ktZXLmYcx87l9tX387ZE85mMD7I7NLZuuip89aNK8h+uumnzCubx7k15wLCIQvYAgWPkSSJYnsxaS2tO2cLKxZyIHiAKncVVpOVBn8D+4b20ehrJJ6O87vtv2NyYDJ9sT6+dea3mFU6S6zDV6f/fuTno5kkE1FFuFs/Xv5jVtSu0O8br2TZ3CNKk396s40vBu04ZvlZemUTm9uG6ArG+fWaA3oP2frHdtMy8/NcWaoy8cEHkex22g4KZyy7c3K0IKuZJkRpIppz4CZM8o95/wwMDAwMjo/T0iE73TgcOkyNR8QI1PnqOBw6fNLjLz73wuf49hvfPqFz0proIQMTRfYSuiJdHAwepMxRxqTAJAB9NM+pIvs+mGUztd5a/XhvrBcQuxNTaorOcOEQ76ufvpqvrPkK31v/PQB8zMBmNjHB76AjMyT75pk389zVzyFLMsWOYv5tyb9xaf2lvNH5BrsHd7NkQs5pa/A1jClZdoW7+P2O3/NE8xOEk2FUTWUwPljQ0J+l2FFc0Eu2oHwBgB4em+05W9m4kmsnX8vWvq28dOglgIJdlFOKpug7MrM7OgE+NPFD+s9V7iosci5WIvu8JY4S/Zg1s8uxRpGxIaFuDzKr2sdNS+qYXC7WUuaxkerpZWBXO1FnOVJxKebSUkwejy60RjtktlGBr5a80uSEyYYgMzAwMHi3GILsPWAgPkC5SySf13nrSGtpDocPn7TrR1NR1net58n9T55Q6nw600MGUGyvoDPcSctwC/X+eia4JwDQHS7caRlMBE/qvMaCHjLPxDH37x/ez+VPXs5FT1xER7gDs5wTADdMuwGAJn8TqmrBYpKo8jvoGBaBpZIkFYws+vCkD3PvOffymVmf4Y75d/CpmZ/S72v0N9IR7uAnm37CqpZVXPrztVz7h98AsLV3K4sfXcxDOx9iKDFEkb2wZAlwy6xb+OysnGG7qGIRRfYi5pTNAeCsyrMAuKjuIs6vPR+AB7Y8gFkyM7koF8kxJTCFnmgPG7o3EE6FscgWqtxVnFGem1E5ejfl8url/O7C39HgF71wkYRCKK4QcFqYmhKfr9ki631r500t43PLGphd7af/V78k3NYDkkzMmhOaiYjYbBELJencP8yqX4i+wtH5YrKc66Uz+sYMDAwM3j3Gf0HfA4YTw3qfz0SvEB2twVbqffUn5fo7+nfoPz/f+jxXT7r6uM5LazlBVmQrpy2yi+HEMJc3XK4HtXZGcs5UKp3iiqeu4Lqp13HbnNtOytrzd1m6rW7OrTmXJn8TD+18iCUTlvDa4df0nZerWlahqAoSEgvKF3DXGXcxq2QWU4qmcN8zw1jNMlV+B7t39x7x+WRJ5o75d4w5/tEpH2V913oe3PEgZsnMUNf3cdRuwgx6Cv8LrS8QSUXGdciyIitLsaOYNR/L9b99dvZnubLpSl3oTgpMonmomcmBydhMueb6WSWidHnz8zcDcPeiu7m88XLWd67XHzM6ANYsm1lUuUi/3T0iBOmKyaVUdAmXTUmphIcSeIrs+J1WvnnpNADiu3eTdMwEICJ59GvEMw5ZZDjBq3/ciztgY875NfhKx5avz7qqgdJaz5jjBgYGBgbHj+GQnWI0TSOYCOpfovW+emRJ1iMNTgbZRHqrbGVTz6bjPi+tiR4yAL+1jI5wB5FUhAZ/A2XOMmRJLihZbu3bymB88KQ2++c7ZAAPnPcAd8y/g/+7+v+4b9l93DbnNp6+6mmK7EX6LsP/Ov+/ePDiB5EkiUsbLqXR30gqreqCrD+cIH6COVgBe4AHL3qQz876LIqmIFkGMDlbafLnBthnh56PJ8iOhVk262IM4EfLfsRHJ3+Uz84ubINcUL6A31/0e/12mbMMh9mhj0eSJbkgcmM8eoJCkC2tCuDSJLZbhejtawsx0h9jzaN7iUdSaOk08b37SGWuF1FywjDrkGkaDHVFWHJNE3M/VFuwu1Rf88V11E4fG45rYNOPmYwAACAASURBVGBgYHD8GILsFBNTYqTUVEFEwdzSuaztWAsI12l731hxtq1v25i+qfHoCHfw3MHnqPPWMa14Gj2RnuNeW1pLgyZ+Bbzm3OzCBl8DZtlMmbOsIBx2Xec6AHYN7DpqyOmJkN/Un0+5qxynxcntc2+n3lfPoopF+m7VrHuXTzKtYjHJTPALB6cz00d2IkiSpLuW1sB6JEnj5hmf0e8/HBJl5iLb2JLlidLgb+BfF/8rF9ddPGYNZ1TkypPZ8mi2P8xr9RaUYcejKxhnetJEeLX47HY5VCQJDu8d4g//sp4dazroPhAkeagNJaWhmkR0xUgwJ2KzPWNZ6ueUYGBgYGBw6jAE2QkSTAT1ZuvH9j52zJE4I8kRoHAH3PKa5ewZ3EN3pJu7XruL65+7viA09MnmJ/nEc5/gX974l6NeW9M0vvTKl+gIdXDbnNuocFXQEe7gG2u/wa6BXcd8LYqW0McNuU05QTbFPxsQwidfFK7rXIeERDgV5p437+Fbr39LF4BP7HuC77/5fb1P6XjJCjKzdPTq+cX1OeGS7zRlSSoqVpNMU5lwe/Z2h05oHVmyQ84tgbdQk0XML1mm78R0HirHnLbo/YCjufqXb/D5P52cjLmsI5Z144odxUhI486rHE33SJzLolZC3WJX5v987Rz8FS52r8u5nfFoisSe3SQtuVLj7jc6GekXQjYRzSX0mywyZksu3sLAwMDA4ORjCLIT5PInL2f5n5fzdtfb/Pub/85X13z1qI8PJkQOVP4X6dKqpYAQdC+1iZ122RBWTdN4YMsDAGMcso5wB7e9dJt+zbUda9k9uJu7F93NpQ2XUu4s53D4MM+2PKuHiwIMx4cZiA3ot6OpKD2RHhJqGDUpHJgK22SWVS/j5rpfMvd7L9MxHKPSVUl7qB1N00ikE+wd3KsHrj627zGePvA0D+96mKf2P8V313+XP+/9MwPx3PMci4d3Pswvt/4SWZIxyUf/wj+/9nw+MvkjTAlMGZPPBcIhs5plplR4MMsS2/Pyt/70Vhv/9XLzca0pK4QkOUU6Ws9wVOXxyx/nQv9KLmj+NI0D83TRNprNbcM8u+3k7Er9/UW/55PTP6nv0rTIForsReOm8Y+mOxgnZBLCuGyih9oSF6U1bpREzgFLRBTC69aheIUQ95c7UZIqT/10C2lFJRFNYXMKkZyNuDAwMDAwOHUYTf0nSDan69637wWgLdTG2sNrOavyrDFlNxhfkDX5m3BZXDyy6xH92L+t/zc2dG/gUzM+RV+sj2J7MT3RHhRV0XcWvtr+Kq93vM7G7o2cV3sev932WypdlaxsXAlAuTPn3GR7v1a3rebOV+7EYXbwi/N/wYHhA9y/+X40xBe2msw4Y6qTX5z/Cy7+mRjr1BdKcFblWTx38Dne6HyDgC1AWktzWcNllDpKOaPiDF5pe4Unm58sEFNP7X+Kand1gaN1JLJl2+Mtf35n8XeO6MCl0sIhs1tMTKnwFAiyp7Z00BuK8/nzJh3zObKCDCAdr6QvlGDGhGrKJeHKuRX/uLss81FVrWD34bthoncid51xV8Gxak81pY7SI5wh0DSNN/b3c4Uk0Ti/jBU3TAGgtNbDvrd7KK52M9ARpnlDF2/0Lsc3ayGk4YKbpxMZTvDcr7az6/VOElGFmmlFVDT4mLp4fAFqYGBgYHDyOC0dsg9CUv/+4f0sq16Gqqncvvp2Htz54LiPCybFGrO7LEE0Zs8onkEinaDOW8ec0jmktTTPtjzLsy3PAnD9tOtRVKVgtmO2PPrHPX/k3MfOZWvfVj4989N6Q3y+c5Pt/fpr818B0ct28/M3c89b9xBKhQinRHComhACJNsE3xsSgaBKWmVlw0oqXZX8dttv2T24G4AZRTP49uJvc0n9Jdw04ybCqTDBRJDb594OwM83/5yvvfa1Y75/mqaxe2D3MR83mvGaykGULC0m8es8q8rH9o6gLt56QnEGI8c30D0/BFdNVNIfFud51EzpkLJxe7gSSs596gyeeP/a8XDfsvv41lnfyj1nTOGZB7bqZUZV1XituZ+DfREsCgQqnNic4ncjOwS8osGHzWGmpzWMJpsYTovfS4fHSt3sEsrrvWx/9TDxzCDxOefX6NcwMDAwMDh1nJaCTNO0ZzRN+5zPd+zyzclGQggCm8nG95Z8T9+F99rh13in750xDs54DhnAzBIRNbCwYiEfm/Ix/fhjex9jcmAyiypEjEFrsFW/LztSZ0P3Bgbjg9R56/hw04f1+/N7m7oj3QzFh1jXsY6rmq4qeO7sSCEJEy65FJMs0RcWQiwrXMIJhXBfko/ZPsPm3s08tf8p3BY3VZ4q/TozSmbw1JVP8bWFX+PmmTcXZIQdK6usI9yh99edDFJpDatZpvfQCHOqfQxHU2xpH0bTNHpG4ozEFVLpoztxh/cO8eof95AxD3WHDMCZGS/l08Z3x4J5ifUn0r/WNhBlOHp8YrHSXVkQ/npgUy9tOwfZsEoE2v5qzQFu+v3beDPC1OHJCamyWg+eIjt1s4r1LDFJzYlIh8eCJElMXVzJUHeUeDiF3W0IMQMDA4P3itNSkL1fxJSYXuq7ftr1lDhKePLKJ7l19q280/cONzx3Q0FeFBxZkGXzphaWL+Tyxst5/brXAYgqUc6uOlsXTc3Dzfxow4/Y0b+D/cP79fM/NuVjPPPhZ7Cb7fqx/JJld6SbDd0bUDSFaydfq7tn31vyPR68WLh5Lrkcp9VKfYmLfT3hAjEZTab503ffIr6qBIts4Z2+d5hSNGWMO9Tob+TGGTdiM9n0aQQg3LxQ8sjC5Hg2HZwISUXFHU7zl3s3ssjjpthl5ccv7GUkrhBPCSE2HD26SFz3xH52ru2kOijKfKhO+jNC1aGIzQKu9Pj/EzCUd+1bHt7I714/9qBygBt+9xb3Prfn2A8ch2RcNN6H0iqL7nmJ+57fy8KJAf7rGhFG68gM/gawOszc+IMl1M0qwZYRZM5EPzPOmYDDY9Gb9psW5Eq2UxeP3c1qYGBgYHBqMATZCZAVV99d/F2+vODL+vHzas/Tf97Qs6HwnGQQq2zFbrIXHF9evZy7F93NBRMvAIRgm+ASfUpLJyzFb/dT5ijjD7v+wMO7HubWF28lpab03YjZjQH5lDpK8Vg8lDhKiKfjvNP3DiB61qYViSDQOaVzKHGUMCkwCbdUh8UkM6Xcw76ekF6eA5H2nuVL87/MBRMv4AvzvnDU9yc/af/jqz7OkkeXsKplFasPrebutXcX7EjdMbCjwFH7R0mmVZwRIbxSwSQ3L63njf0DBcO1j+VEFVcL0fWR+BeIHroFEA3yAOak+PzsyvgDtIejSdDgkyEbi+Jm1uzrO/aaFZX2oSi7ut6dU5iIic9oKKXopeYvnj+JBo8ou9o94ztc9sz4Ixtxll8/hU//cGnefRau+foCbrp3ybghsAYGBgYGpwZDkB2DnQM7+ebab6KoCkNx0dDvtxfO7JtePJ0XrnmBmcUz2dxTGHswkhjBZ/ON6X2ymCx8YtonsJpyLsa04mk4zU7mlc0DRHr8YHwQr9VLTImxuHIxT175JLfPvX1cQWaSTfz1yr/y1YVi5+dbXW9R5ijDaXFyXu15zCyeqeds/eaC3zBJvhGLSWJKhYe2wUJhEE3mylkfbbiOn5z7E30+45E4u+rsgpIawN1r7+bOV+9kVcsq7nnrHt2F29yzmZnFM7l/xf36ev8RkoqKLSbWHAkmWFQvSour81L7j9lHpoq1xVvT3NA9kysSNjYdGkLTNCxJEZpqTtjGPXUommKiIlORllketxCMHXu8VG8ojqbBgb4wqlpY6k6rGocGxh+DpWkam58/RG+r+LyUzHv6ncunc86kEn0geL5Dlk+2J8xhUZAkCWnUBoSKeh/ugH28Uw0MDAwMThGGIDsKmqZx3bPX8UzLMxwMHtR3WPptY4coV7orWVixkO3922kfaee5lucAMXbHZ/PRvnuQwc6jz5m8Y/4d3H/e/fpuzeumXkfAFuDmmTfz+nWv85sLf0Odr47b5tx2RHepwlWhj2faO7SXiT7x81VNV/Hoykf1kmOJowQ0OxaTzORyD5oG6w7069cJ5zlkiWOU+rJcN/U6Vn14lX57adVS7lt+H99b8j0+N/tzbOndwqvtrxJX4uwc2Mm88nmsqF3BTTNuOq7rH41UWsUSFYIsGkwyvdKLJMHqPbmg3KFRDpmmaRzeM4iWEUOpZKbHTIMyVWZKTKZ7JE5LfwQ5IT6T7L+jGY4mmZPMfSZdfbnPekdHkJUPrCUUL3wfuzLuWzSZpisz7ijL45vaueAnrxGMpYgMJwp+d2KhFOufPEDbTpGHl8zEWXx8US3plEr/YVEqdhzJIcv0hjkMA8zAwMDgA4MRe3EU1hzOzSJsHWkllRZfqAHb+KNz5pfN56GdD3HT/91EX6wPq8nKoZFDVFlrePrnW7G7LNzy43OO+Hz1vvqC+ZY+m48Xr30Rq2w94u7C8WjwNWA32Ymn49R6ao/4uKSicemW52hcKNyQzYeG9PuiSQVn9nExZZyzxyc7XgjgX876Fz1HS1EVXmh9gZ9t/hl2sx1FVVhQdnTHbTx+veYAW9uG+fUnC89NKiqmjEMWHUnisplpKHFxIE8YdW7o46BqoX62cPHadg7y7H+9w5Jrmph3QS3pVJriajdDAzHUWM4hXLe/H0dYfPbJWJoNLQMsrC8q+EyGYykqFQm7x0I8lMIRSjMST+G1W/j+ql3s6BhhS9swyybnYiu6gnFsKigS7O8NU+XPKaRdnSMk0ypDkSR7nmihty3EjfcsAdB3VWZJJdKYZAmbWeblP+xhTyYA9khN+dl8Mafb+PM3MDAw+KBgOGRHoc5bx5WNVwJit6PukNnHOmQA88vnA9AXE/1DP3jrB7QEW5g2dBZw/E5TPjaT7bjE2BObDrO2WTyv05Ire1Z7qo94TiqtcuHGZ7C/8SogRAGA1SwTyQsRHemLEw+f+NqzPXEgZjneueBOWoIt3L76dtwWN/PK553wNZ/b3sXLe3oLSnyqqiGlNeS8kiXAzCqf/noAYm/189wvt+nnhYeEK3Vou3AGU0mVw6E4r2riuMVhotxrY3PbcMHrv+eBDWzclXMTAYbCCdyaxOSF5SBBVVqmbUAk5WfdxvSoHbhdwzFuH7Hz6ZCN5p7CDRAHM+eG4im6DgQJDcSJR1JEggn62wsfqyTSuG1mJEmieUPOETSZxv/ztpmFE+gKGBaZgYGBwQcFQ5AdhTpfHd9f+n3KnGUcDB5kODGMhFSQKZaPz+bTYzDqvHX0xfpQNRXXIbHD0eEdv6fn3XJ4KMqmjKv1lb+8wyd/97Z+34V1FwKFOy9Ho6QUZE3DoipYTBJD0RR2i0yxy0o0qZDVgX//7+28+Pudx72uayZdw3k1540RkufXns+959zL3NK5/O6i3x3xfcxnZ2eQZf/5Cr2hOAklze4u4Rx155X4kmkVnyqeSzZLRIOiNPmJMydy/pRS7ljeiN9cOAlA0zS27hFTBYa6o2iaRiqZpieS4C27wjpbilQ8zeQyNy19YeKRFJZMM/wFMStv/2IH3S25DQPhoQQyEsVVbqxuC15V4rrfvEn7YJRwZjfk0Kgetq5gHDMSAVXmz6tbeGR9q17W7OwJszRm5p3/3U90RJw32BXhoa+/wZpH9xVcJ51ScdvMxMMp0pkdpQ3zjhwga0kLh81ddvQh5QYGBgYG7x2GIDsO6n31tI600hvtxWvzHnV3YLbx/c75d2KVhQAzZxrCoyNJ0sfIwjoRbvzd21zzq3WM5PUmZZvmr5l0DT865xdc1nDZEc9XU+I8LZGkyCXW6ndYcVpNRBJpTObcr8dg99H73/L57pLv8vPzfj7ufSsbVvLgxQ8yvXj6uPe/1TLAx/57ve72vdkySNtglC1tw+ztDpFKi9fXNhjVz0mmVRwZQVZU6SKSETBnTAzw4YgN39oBai2FYnhX1wjrt4nw3OhIkuGeKEMjCbLF2YQEaNAUcHGwN0IiqqBlSnxJNCSHiZcf2a07ddFh4cp5iux4A3Y8qkQ4ofDirh7CGbdx9KaCruHca5g0At/+207+9+12kopKoDfF4oSF4P7cRotVr7SO+55Zgyku7oYdr4kQ4Q9/dT6X3Dqr4DGDj/yBRIuI4ih1RSjr3URZgzESycDAwOCDgiHIjoM6bx3b+7fz1+a/FpThxmNlw0rml81nSdUSllYtFY9XMm+zBpHMF3c++zf18sfvvIl6gmItG1r66Fu5weQdw8L92Nk5wq2/CfHHN9v429aOcUcOpVMpBgNTiMU0ilxCNPqdFlw2M5GkgsmS+/WIDifH7AQ8Ffzznzbz1sFB/m+HEEsH+0UZtbknxNb2YQCuDVt556FchEYwmsKRWVrxBDGzMRlX2PVGJ4d2DBDsjTErWvir3tIXwa/KxDO5csHeGLG4QkrK7LTM/Fvnteul0HCplV0WhYc8CZRJboa6ozy+tpUv/3kriYwr5y6y4QnYmF3sxixLtA9FCcbEfQOjBFn3QK4X7CyHkzK3jY2HhAAtSktEpNz7bbGb2L81F6WhoNFdbCIiaVgTGkVxeOvpFhxeK+UTC51HZWCAnh/8gJYrrgDAFh1g5q7f46g8+hgmAwMDA4P3DqOr9zhY2bCSYCLIospFnF97/lEfO7dsLg9f8jAgnKJwMszqjW24AzbCQwnCQwm8xYW9Oz0Hgwz3RIlHFJwnUNasL3Wx7XCQ37zWoh/b2DpEpc+h94P9699EqTGhqOzqHKHIZeWL54uZjloyxTuzbiMSO0RRJizU57AgSRBNpJHzHDJV1YiNJHH5x499OBkoaVXPQmsfEmLlYL9w5v70VhvDsRR1xU7qhjWU3lzJ8sVdPTi1jENWJXLCRvpj9LSO4PBYMJllJgzlhLCmaRlBJtFuUZmUMhEajKOm1ExAaopERgxVOe2Up8X70G5S2V1nhTCMSBoB4I2dvTzd3s85KStgwl1kx+230dk8TG2Vky1tw7qrl1+yHImnONQVBuyUTfTQeyjEijMDrD40yMH+CEVpiUFZpfyqeggphDf1UzuQK7tqZpmLPz2DJ362hUZFHK+fU8LSaycVCGmARHNmsLqikOrpQekTws5caggyAwMDgw8Kp6VD9l7PspxbNpf7lt/HtZOvPeZg6XwC9gA13hqUZBp/udh9mG0kB1DTKm27BoiGxBf1iTb9Z0tg+c7LnX/eyoNvHCzosQK46/FtPLSulZ+8uE93y6RkCk22EE9bCh0yq3DIRjt2qzd1ntD6TpT8qI22TAbXwcwuyc5gHJ/Dwv/cdEbBOUpa5el3OqlxiZ2iDXNKsdhNvPTgLkIDcdwBO7NWFG5sUJIqrV0jODSJTrOKJkNoMA5pDb9HCOJ4pv2t3GGlPC2BDHvjMeqLXZS4rQypYq3Dg3FQwZbUwCZjsZpwBWxiOLfHrrt6AD0jcTozDubbLYNYM29v00LR5zcFM/3hJGv29BBQZQZNGv+zvYPvvH2AN8O5kvHE86q46s651JW4dEdPleCSf5qFt2Rso35iX7P+88hzfyfd349ksSC/D6PHDAwMDAzG57QUZO/nLMt3g5JS8ZVlBNlgzqlp3T7AM/e/Q/tu0Zgfjxx/vAQIQWbLc7Eumy1G3WxsHaIj4zCdP7WMy+eIMuuSxmIAfW6lKRP+mkibKc7rIXPZzESTab1BPMsLGzs4lYQyze+lHhuHh2KE4ik6gzlh+fFFtcgjufconkpz1S/fYGv7MDOKXdicZvzlTpZeO4mBjghdB4K4fFZmnVsoyD79328S3CAa+s1lduIWidBgHEnVcGYiIeKyEDoODWolMyNWiZaBKHUlLkrcNvqSYh3zDyt8NejAp0o4fOI9zLqIMzoUXCpMTMn8c9gBW4dZcu/L/M+bh1h3YAC3LD67slqPGATek6RMkah8oR+XJjFs0mjOOJ0tltxnsfKjU6hrClDmsZHKCEfVKh9xN25i/35Mfj/WiROJvv02Sl8fptKSE4pSMTAwMDA4tZyWgux0QtM00ikVh8eCzWkWTkyGcKaMFss0oScix++QxVNpnDGVS4pyovRnH5vLBdPLae4NcXgoyowJXn73qTP4/lUzeeTmRdx8tsg4y4o1U6bZPKlZCTgzgsxpwWUzEY4rKKMEWXzk+IZgv1uygmxWlQ9F1fjyY2L007ULqnFaTXzsjBr628P643/64l52dIzwk4/Ooc5mQu7vZOSFFyjJjEBKp1ScfhsWq4mPf/tM/GeKEl1/a4gFSTMDE6xMnlFCb1rhUNsIFk3C7bQysdipO2TJWJoJmomDaoqEolJf4qLEY6MrId4Lc2bYfI0iU5bp3coKMldPkrPjFi5JWLGnYWHCTGVa4p5Vu9ncNsSUYrFOq8NM4/wygodCzFJyXQRxe+7Ps9M0tr/QYpIxWUW5UrON/6fcdvMtDD/2GOYJlTjPPJPoxo2kunuMcqWBgYHBBwxDkJ1isi6T2SLjK3UQ7M3trIuFCwVO/ARKlgORJIvjZia1JMj0pWdS9920DkQ52B/Rg0Z9DgvLJpdSXSRuHxqIoqoaJkWsLYmNosyYHZ/TgtNqZiCUuy6IJnI1oryrxv72PYPER4nNtoEof3zrUMGxbORDNj/sxV09zK3x89WLprDr3y7GHFJ4Z3VuA8OqzV1cPKOCq+dXExuKYEmF6frGNwvKdi6fEEdFE1ycfaZwCs+T7KTRmPGhGpY0FjMia4z0CZHqdVt54UvLeONfRa9gT+sIWkJl6vRi7jh/EpfPmUCJy0p3NInJmvvzMSPROF04kO68PruJioxHkRic5kZFY6pmIZZKs6MjyASneJzNaaZhXimaBrPz0v6jrryeMQmediapvrIw6NdmE4+RxxFkieZmIuvWiffhrMU4Fy1CDYWIbdliCDIDAwODDxiGIDvFKLogM+EvdzLcm9tZFw8VipTECZQshyJJitIyKBpuDSYnZTqbh5hc7iGtarQORKkaFfyZFWhPPLSDu77zGnJmVFBCsheULO0WecxujxFZozIlc+lP1vDEpsNj1vPO6nae+M9NY3ZzRkeSPP2zrax+eHfB8Zsf3sC3ntxRMPA765DNqxHBuxdOL+f/XTmHF3+0haHuCDvWdBAdSSLViPLv0EicSeXCZYrHVKypMGokgtWiYXWIV+Dy5TZJuDMbJlwRlcY5pVyzZCIXTC/nggUTcGQ2Bfg9VmxmEx63FUmWaN0mAmA/fdVUvnTBZHwOCyVum1irvTDbrGqSWHf+HEi/Kv7E9pgVOk0qc2UbdhUUVaPUJjZSWB1mSqrdeEvsmFU4YE6jXl2NOROz0VgqNirstaapzoi+LJaMIDPZCtcSWbeOgx+5FoC6xx+n9Aufx3mG6L/TkklDkBkYGBh8wDAE2SlGyYges1XGV+YkNBhHSYlS4RiH7ARKlv3hBP5M9tanZlZxheRkw6pWJpV5CKQlZA2qA86Cczx2IQAaUibsgymkjEOWlq34rOLL3++00B1MYM7oKnO1k+B0N2/ZFCrTEpXtSR7b2F5w3dBgnNf/0kx3S3BMmXOgQ5QYR8d9ZN2w9sGcQA0lxLGJxU5e//oKfn3DAtp3DRLsjbH64d1Eggl8pQ58k0Rp0KpJVPiE+InHVCwp0fge37EDb4k4nr8rNDtUGxCJ+oAkSUxrym3UKPLa9OM2h5noSBK7y6JvygAo8WRy5eSc+PQU2fEUi+e02EzcdO8SamaI69q9Fq5bMpGd1jTmkMInwjbQwG8RIsrqECn7jfPKAOgxqdRXuPX+wOkTcmXpgLNwHJI544yZrYWCrO+Xv0RLJHCdfTaOmTOQHQ4s5WVY6+rE40sKh8AbGBgYGLy/GILsFKNkGufNFhl/uQM0MYoIxJDofPJ7yPZv6qXrwJF3kfb3RrBm+pcuqCrGrkkM90Spcdv4TMjOhzUHZ9aPvyPUqUnYNfRdfgBTAi5uOKuWxQ3F3HZuA9cvEKWxdhdstii0+2XazCoTFJnNbUMFOyJ3rMk5ZqPnXmZ7vrJiJYvfIdyq/IDXrEPmsVuoDjiRZYlk5ljPwRH62kI4fTZ8GUFk1aDCa0fTNBJxDUtKPJcyMIAvU7bMliwB7K6cmKmelptHmi/asoIMwJZJ5q9s8hU0wM/NOHjtUSEyL7xlBis/P6fgMe6AnUBmI0dxpYsr51bx9E8vZslHmihSZYpUCbcsY7WbkGVx3qQzxNgld5WTRXVFJDKCeVqlR79uttcviyUj6vJDfAHUUBjH3LlU/bwwoNe5aBFgRF4YGBgYfNAwBNkpRi9ZWk34M1/Qw5k+slhodA+ZEB/n3fcKz/5uBxufO3jE6w5254TMYFeEZEwhPJQgmtnFOTkmU++2s/qR3STjCi1b+1j7531Mr/Dg0MCmSdi0nIDQEmm+f9UsrIpGU5mHf17eAMC+vjDbO4JcOL2cXpNKaVpCUTRmfud5Nh0aRNM09m/q1a+TyLyGr/7lHX7y4j76D4u5i1nRkcXnEOJofEGWK5hm51KC2ATh8lop8mUFmUS5104iqpBOowsyNRTW+8iceSVLc17Pl8OdO54v2ix5TtOSq5uYc34NZ6zMDXwHmFrhobbISSjTZFc1JUDRBBejya4hUJ67r36WcKZq0jI2VdJLqwCltR5uvGcJv/7aUsq8dqIZMd9U6sZikpAk8DoKHTJ7Zl6lMmrDZHpoCGtTIyZ34boMQWZgYGDwwcQIhj3FZMuTJousR18MdIRpmFtKLG9gtcVu0h2y4d4YFtVe0G82mshAHCuiVNZzcIRs61Zn83DmeVUObO5lz7ouLBaZHa91oGnw5aWV7KULm6ZhzdPj8XCKg+/08dyvtrPik1P13qnBeIqEVWXZ5FJ+tb4LCxKLSj281R/ixy/swxlRmdcfZ58lzeSUie6BKEWVLh7P9Jnd6xQCZChYmIuWHbSdFWRPbDrMXzcfxmqS6h2rcQAAIABJREFUsVtyoigynMBqN5GMi/fR6bNS5BdumxWo8Nl54/FmQMM/vB8ANRyiaXkZqUQapycnvCRJonZGERMmFQ6HdxWIttxzN8wtpWHuWOEiSRIXzShnTfchzqsK4PBYxjwG0Mum/opcudNX5kCxSkwz2UjFFWzOwj9BT1HOScwKsnKvnWKXjbiSxjRK2BbZLaQAa57Y1DSN9NAQ5kCA0Xg+dD6ld96Ba/HicddsYGBgYPD+YAiyd8lARxi7y3LM5Pp0MueQ2RxmKhp8NG/oYcEldcQjKernCMGSjCt6D1llJhk+NBAnragF5ShN0+gLJ0gOJZEljYpGHwc25xyqrCAD9JLn9tc6sDnNTGjys/f1LgBMSNjJiY9YOMlgh+jBeuUPe3Lrzzz1vFo/H7+wkZGn2vn35ZO5v7mTZ7d1cVbcDFjYZVGYnDKx/fVOIodzIaZZN7BnoFBcBmPZHrIo4YTCV/4iIi6ymwuyRIYTVDT4aNs9CBo4vTZKMpsVHJKEC4k967uZWp/G92qrWHM4TNlErx5Dkc/lX5g75lh+KdNsOT7T+LZzm5hbE9Cz38ajtNaLy2elanJOAEqSRMP0YjwHR0jGlAKHbDSxZC6XrcRjJZqJKcnnnDkVvLxliLPmVejH1EgULZXC5B8ryGS7nZJ/+qfjeo0GBgYGBu8dRsnyXbLqF9tY/+SBYz5OyYu9AJh2diVD3VHhQGlQPTXApbfNxum10XsoxO51nVRmZl9qqsZIf6GQ+cmL+1h0z2qUwQRBq4TTZ0VN55rLu/bnBJleStRgQpOfqimFX9AOrFiSYnh1sDeGedROPYDGcjelHhtVfgfXX9CIbJboOxRiUUjGq0rUKjK9ssqwSayhf+sAW18U0RSyBqoijivxQjExEktRpkiYWyM8+05uAoBz1BrCwwm8JQ69rOj0WbFnREyxzUow4yKW+3OlTTUU5kSQ8lyn0c3xR6LIZT2qGANwB2x86odLKan2FByvm1pELJik/3C4QAyOZtlk4c6VuG1Mq/DqO0rzmXpmBVd+aR7TFufWkh4aBMA0jkNmYGBgYPDBxHDI3gXptEpoKK67P0cjW7LM9i81LShjzWP7WPOoGI7tyJTUTGYhCl5+ZA8TZZmYpOHQJIa6o/jLnXrD+AMvi7KcLZJmwGsqKMlBrocLAE00e6cVlarJAb2HLYtdsuKIHcYV6Wb7KxYaF5SNWf+t5zWhFdmQJAmTScJf5qR5Qw+RYJLPWp1IqspGSwopz1lKRhRMPrDkJ2CkVNJpFVOm5ykYS3Fu0syMsMaDr+d65Qbzdp4qyTSJiILLb8NbYicynMDls2HJxE0UWc0Mdgo3zmeNk5Vhajg03kdxXOT3mZ0qsiXTRFShdkbxER/304/N5a6L41jNMj+8ZjbjJcBJkkT1lABaMkn8YCv2KZNJD4nJD6aAf5wzDAwMDAw+iBgO2bsgGkyK3ZL9R+7xyqLHXmT6onpjSVZLCXENcj1Ds1fU6A5WkSqz1SqE1d9/vZ0dazr484Y2OoeiVCoSThUcqkTSbSroX3IHhItksZmonhqgosHLnA/VAKLx3FdWmEtmk62YlRiNB58mFk6xZ13XmPXXl7tZlLdbM1DhIpJZu5xUkVSYPb+CP39+ScF5HjW3aSAqadgV+O0dr9HdEiSeSovUe6cNExLt3WE+NE2IwUgy56RlG/qFIMs16Wcb75dMLGKwK4LZIuOURY+aqaiIdPjEHLJ83gtBVlTpwuYyI8kSjfOO3Fxvt5ioLxFN+bIsjekfy2fg4Yc5eOWVRDdv1gXZeD1kBgYGBgYfTAyH7F2gjzwKpUTvVzjFpucPsWhlfcGOPciLvch80XcMxdhiU5hf5ePGyydT0SAypkprPaz8/Gz+35fXkk6pbLemWWp1kg6l2Px6B98J93OmZOOGsJ3tGbGGz6o7bADl9V7CQ314Sxxceec8QEwKqJ4aoKTaPWZYOIA5HcMTOoQkMSZDDMbGKQQqcy5b3ewSqqcGmL2iGm1Ugr9HlfR5kCFZw5mWSCsqvYdCyKXiPfIho5LGrUrcvqKJl3b3FlwjMiyEn8tvxV8uYjBcPhuSLGGxmah02hjsihCodIGSGWVUXET4pdU0rziPhmeeGbPL8IhIgJYTzqcSSZaYcmYFyXi64PP7R0i2tgIw+NDDuM9bARglSwMDA4PTCUOQHYVIMEHPwRFqpxcV9BaFh3I7Bge7Ivztp1tQkipFFS7mnF+j39e6vZ/NL4h+quwXfVcwTlqCHX6onlqYE2a2mKiaFuDNnX0ETRrKijJmDsDu9V1ITnDGVEBmVtKMhoa5aLQg83Fgcx9Ob841M1lkajLPI5vGuj+WVARZU3F5LYSDY4NpR/dUFVUIgVM20cNlt8/Wj0smCcwSZHrGPJpEVqMpNhmiufduJJNVpkWFWJ3kdTCvxs/MKi/LM31Tg10R3SFzeq3MXlFNzdQiPZneYjeRTCgMdkaomuJHiwtBZgoUoTXvR+nqInnwII5ZM8e8pvEIlDsZ6o6OEaCninM+OvmkXi89KFyx0IsvYm0QMR2GIDMwMDA4fTBKlkehY98Qf//1doJ5pcmWrX1sfj43g/H+R3foZckD+wb1wFRN01j1i236jMTs3MOOYXG7tT+3EzGfeR9t5DG3ECKd0SRVk/yoKZWytERpOleyetWu4PbZciVLSThkwAm5Lq5oDwBurxA6ZRM9NOX1kh3JISuuHttg7sxrUF9Y5sWaEWRFebMlw4NxgrEUFg20zPt2c1MlfW0hnv3COXztoqkE+2I8+r23WPOnTJ+d24rVbtZfH4DVbibYGyMynKC0xoOaTIIkYfLn+qa01PEPQ7/ijrksv34KdveRm+w/yCTb2zD5fKBphFe/DGYzssdz7BMNDAwMDD4QGILsKLgzeVf5Y3/+/uvtevo8QKRLWD+SLLFtex8zv/M8G15t55e3vVJwLXNG2HQFhSDrDMaJp8bGGCQ0SGV0V2t/hMomITCqFZlyReaAF34bSLDRruCxm/WmfqvdrLtXDu+RBdknv7+YC76Yc7ZcEbHD0eMR6ytv8HHRZ3Ou0uieKn+5E0+xnZppY6cAWPMCXc8o82LN9JA11eVE0q6WIa751To8ak5c7nmtkxf+30799lC3EKvZDQrjiSSr3aRHfJTXedGSSSSrFdmTE4rp4SNPOhiNO2Bn5rKq4378BwlNVUm1teNduRLJYiHR3IzJ7y+YHGBgYGBg8MHGEGRHIZsxNnoOYxbZKlORiUi3VDkpViUsGuzb0DPmsdlohc7hXLnz0MDYXZqxTM9ZwGlhd9cILr8VnCampszYkUj7LZgzTpTXbsFsNWGxi4wzu9vCmVc0MGVRxZjrZvGWOKjNC0Z1RUQjv8sl1ucYJX5Mo3K5zBYTN96zhEmZWZD5WPOGbafDCraMQzaxJudsRTP9d/mCDCDYF9N784byphBYHeZxy4j5ER6ltR60ZArJasXkzrlC6eDxC7IPGuE1a2i54krU2HFsHOntRUsmsU1q0h1C9/Jlp3qJBgYGBgYnkdNSkEmSdLkkSb8JnuIvXJdfOE1ZQZadq6hjN+HVxFsYL7EgI1GSlkhmAjzzS2xtGfHVORyjLDOLsXVgbNkylnHN5tcGGIqm6AslSPstTMgktNornPgzA6azY3QcHqs+d3HhpXWU1h69VGW35Jwsa2bckNup6dcCaJwverlGjzw6GtmQ00Cli3B/TJ+1WZYXt+HWJCQN3OrY63Y2iz6owa7c+zJaIGaZtiSXu2W2mvIcsnxBNjzeqeOiqeo/tDvz3RJ8dhWx7dvHHG//58+T2LePxL59x7xGsk30KVprayn+p1uxTZpE+d13n/S1GhgYGBicOk5LQaZp2jOapn3O5/Od0ucxW0zYXRbduQkNCHdr/kUTuf67Z5Kw5ERFX2ZzpV+ViQ8lmHpWRUHT+7L7XkFVNTqHY5zZILKnDg+NdT+y43LmTxQO0O7uEHG3EDoDskpJlQt/RohlZz56iuw4vUefGHAsXHbxvNmetAtumcHNP1p6QmWvrCCrm1lMsDdGqSwcs/ySowmJry5r5PaZ1QWBrBa7iY59QkBls8VGn5tPoMLFtLMrWXadaI7XEgkkqxV9hhQn5pAFn3yK/SvOQ42M39v3j5Dq7aX7nh+gJcf2tPX84AcMPvRwwTE1HgdFiP/EgZZjX79TlJ0tEyZQ9IlP0PDM05iM/jEDAwOD04rTUpC9l7gCNt0he3WT+OJrmFdKoMJFCNGUnkKjPSV2KBalJdSIgq/MMUZMfOF/tzASV1g+uRSn1cThofFKluKLeF6tKD19/fFtNCvi+fdb0lT6HPpgbq9d/Hv+TdNYccOUE3pdayvAlnpTv2156X9ZvLJGDyo1meSCAdzHg9VuQpIlamaI/rLpshXJLFE0wcU5H5vMjA+L3X9TFROtG3qZdW4VF35mBgsvraN2ejEtW/tIJdIM5TtkR9mgcN4npzHr3GqAjENmKQiFVU9AkMV37kQNhUhk4iOU/n6UgQH9/uDTTxfcPhF6f/ifDP3hD4TXri04rqkq6eFhlMHC60bezH0uiQP7j3n9dL+YO2oMDDcwMDA4fTEE2TFw+22EM4LsTy8LtyI7NHpQFa5STNLY1RciZZaYmBl75CtzjnGXVm3r4lNL6rhmfhXVAQcdR3HIJvgcLKovonskzisDI2yzKmy1pqkOOPA5xzpk7oB9zLWOxmUXNzKrNBdzEV39ElXbH9dDV98NlU1+Js4sprzOiySBHFJwuCxIksTsFdVMnyrEXrBZjGs647J6Ji0s58wrGph+diXxcIq///d2Uom0XnY9UslyNFoqiWy1Yiou0Y9lm/qjmzcTXrPmqOcn29vFvwdbAej85jfp+ua3AEh1ddF519fp+PJX0DSN2LZtx/mOZBcnXLvR7ls6GARVJd1fKMii699Estmw1tWR3D92PJemqhz+0pcYfvxx2m69lejGTUhOJ7LrODPXDAwMDAw+cBiC7Bi4/DmHzKfKJNBQLRKaptGdFIImJkPPSAKcJqrSQtBkxxSlrBLJvKE3yyaXIEkSVX5HQckyGE2xp3tE7yFzWk08dutiplZ4UCQYmenlhzfO45xJpfgdwjXKOmXvhk+eNZG6USG2kvUfCymdfvYELrt9ttjxOUGIg/ydl9m5jUPdUWSzhM2Zu696WhH+ciftuwaZMMmv94jlTyI4GmoyiWSxUvzpT1H1wP3YZ8/WS5aHrv8E7bcefaB2ShdkYoyT0ttHqk8E1Wavowz0E12/ntaPfoz43r1jrhF6+WWimzaNOS45RexHOlQ40imbqK8MDhYcj7z9No65c7FPn07iwAFSPb0kmpsL1hr6+//R9S//SmTNa4RffRVzSQkGBgYGBqcvhiA7Bi6/jVgoRTqlUqRKDJs0OobjhBIKw5ooWcYkIbisPiFoNEnEQwC8WG/if6tyCfjTK0XfW3XAqWeSAfxyzX6u+eU6wpmNA/aMU9VQKoSN32nhklmVmGRJb+r32P+xXF8tVRgEawqMjbJ4t5TXi9eZv/MyW36Mh1M43NYCB1GWJa65awEXfXYmF9w8Q594YD/OsqmWTCLZbEgWC94LLsDk95EOBtEU5djnptOkOjqAXOK9GomghoWjlRVOssNJ8vBhQJQ0R3P49n/m0CduGHNcMovPSekpnESQzgix9NAQWjqNpmkEn36axO7dOM9chH3GDFKHD7N/+XJaLr9CPy++Z6wYNASZgYGBwemNIciOga9UuBuD3RFK0zJ9ssqFP32NS362lkhGiEUz/2bnUoa8Jj1R/vBInDMaRamuyGWlPNN8XxVwEIylCMVTqKpG20CUSDLNvh6x08+ZSfZvKBG5Wo68kT5XzJnA1y+e+g85ZIAQK3miSEuOH+/xbsjuMLXkCTKzVdZjNMZzvuwuC00LynAHbDgz4vZ4HbJs7EUWk9dHemSExIFcyU9Tx46Giu3YidLTo4vT0OrVJFtbhSDLOFrKgBBOssOB0tcHgBot7P8br2E/ixoSn6nSUxiHomSEHqpKOhgkun49nXd9HQD3OecQuP7j2CY15a6TicBI7N0Lssyk9euw1ou+PKN/zMDAwOD0xhBkx6CyUTg9rdv6cWsS/SYhvjqGY4QzsxrPmlrKf35kNtW+TG+ZQ4icSEIhGEsxfYIXj93MtEqP7gpVB4TQ+/bfdjLru8+zt0d8+e/oCGI1yZgzY46yDlkwlnOz6kpc3HZu4z8c/KmlUsjuXJCqmjj5giy/ZClJkt4TZncdXWiVTvQw78JaJs4sPq7ny8ZeZDH5hEMW35ELnFVHRuj5jx8y8sILAMS276D1Ix9h+Im/AmCbMgUtHqft5lsyDpkQUulM073ksOcE2ah+sFTX2MHsWdIjomcu1ZsTZJ13f4OOL3xRv6309xN85llkt5um1S/hmDUL2eGg9ve/J3DjJwFIHhITIuJ792Ktq8McCGCpEZsaDIfMwMDA4PTGEGTHwFNsx+W3seM1UdLqM+Vclqwgm1rn56MLa5i5tArFLLHfJY5nU/mr/A6+euEUPnNOg37u7Co/VpPMk1s6iCTTtPSJL/i9PSEceY311QFR+uyPHP8YoONFUxRMgQA1v/lvcTt+8gRZUYULayawNp/sztNjjXcymWSWXN103Ds9xxNk6sgIkbdyOxaVvj4GH3qIji/egaZppNpFflf07bcBqPjOtzGXl5Pq7ERLJNBSKdRkUnfIJLNFL1WOFmTJ9sNHXFt6JNOD1i0EmZZOE3rppYLHKF1dhF58Ec+FF2Kpyk0MMJeW4r/6avEcmXJqYs8ebFNE3Ie1OiPISg1BZmBgYHA6YwiyYyBJEpWNPqJBIYjyBVlSgrNvmsqMc8QXaGmth/blRXRn+payqfyVPgc3LaljxZTcjMjaYif/85kzmV09NkvNmSfIplSI3YY3LZ54kl8ZaEoKyWzGvWwZJr8fLSHWq2kaWl6e17tBkiUu/qdZzL+4cN1ZZ+xkz4zMxl5kccydA5rGyNPPYK4Qkwviu3bp98ffeYdUpqcrvmePWNOMGQSuv77gumoopDtkWix2xJJl6nD7EdemBjMOWU8P0c2b6fzGN3T3LUtk3XrUcBj3ucvHnG+trQXEhoNUVxepjg4cs0TGnaVaDLM3HDIDAwOD0xtDkB0H05dOAGBYVonkVQllCWadWYkzb3akz2HRy4udmab9Cf7xIykW1Rfx5O1nYzEVlh7zb/kcFlr/4zKunl99El5JIdr/b+/O4+Msy4WP/655ZsskM9mTLklJV9rSlgIF2oJgEbHsHhEVF/DIsfgKAoroeRGPh3PEVw6Ky6vgYTvwKsIRRQTc4MOicESgQCktpaWlpUu6pUmzTiaz3O8fzzPPzCSTNGmTTJNe38+HTydPnpm55w6f9Op93fd1xePuhnMJBNyUZfN99/P2nLl9go6hqp9dQfmE3FIM6ZTlYMtZ9Lb3xz/mvc9c2ue66bHLXqQVv+99hE46CTwear92PQDRNzLlKloff4LEHjsgS7W344lE8AQCWJHcgqqpjg4STlmKVFdXvynLdNkMCfb9WadTlqari503fpO2xx7vc0/niy8CEJwzp8/3PKEQ3okTiW3eTOff/mZ/vlNOAXBTlpYGZEopNaZpQDYIL3d1cXtVD/8VjvGVs2Zx8z/YzbcrSwJYvVoLlRb56OpJEk+maGztRgRqI/3XCLM8wlGVdtByvFMMtq4i1O/9vfVs355TEmFI4gnEZwdGEgy4Kcs9t9wCQKK55eBedwDpU5MHSln2p3vd2+6KVrbeKUsRYdKttzLl3nspOvZYALdFUfCYY2h/5hkSu3e596c3xXsiEbIlOzrcwq2pzk6Se52UZe8VMidlabq7MclM03hjDMm2NsJnLwePh55381TetyxiGzbgCYVy0pXZAlMb6NnyHh0vvIC3uprArJkAFC9ZQtklnyC0aFHe5ymllBobDq1uwhHiuoffsB8ILKgrZVatvYpSVdK3XVG6JMW+jh62NHVSGw7iswaOe6dVFbNxTwff/vB8wkEvQd/girNG165ly0UfxaqoYNbf/mcIn8hmEgl3hczjD/Q5ZZlqbwPyBwgHK31q8kCb+vuT3L+fVHu7vbrny7yGceqQZfPV1uCrrXGDp+4330T8fso/eQk7v3EjnVmNu9MBmdUrIEt1dJJ09pDFs05jpjo7ie/aRfdbbxE+4wx35QzsYC3dush0dUEiQdExxwDQ/qc/M/XRR7HKStl4+vsBCC1aRNdLL+GfOQPx5P9/xd/QQOvjTxDf2UjxkiXugQ6rpISJ3/rWEGZQKaXU4UgDsgNIJHNLJUSKfNSE7ZWx6nDfgOyYSfaesJc27+O59Xs4c27tAd9jqnOSckJpkIriwa8ctfz8F0CmnlXe8be00Pro76j47GV9TmVmBzUSDJLqjpHKKt+QdPY+Dad0IDbYcha9pWuCJVtb8VZV0bN1K97KSlLxeL+FbaWoCAkEMLEYvvp6SpYtA4+H5P5M8/F+A7L2NrdlUqotMx+pri4av3o9XStXMv2pJ3P2hKU6O7HCYRLNzWz+yEWAvfI24cYbKb/4YoLOhvypv3sUTzBIdPVqul56acBDFf6GqXYZjvZ2gnPmDnq+lFJKjQ0akB3AmsbcoCQS9OK1PMysKWFaVd9WNQvqSgn5LW7983rauhOcv2DSAd/jUycdxYTI0IIxIKe3Yu+UXVr7n//MnltuoeR9pxKYMSPneyaRQAL2cyTgx8RixDZk0p/p04HDqbSmCPEI4cqhtXpKSwdRyf37sSor2XTWh/CUlGC6uvoPyETwFBeTjMXw19Xhraig6PjjiK7MVNV3U5bh3IAs+sZqTDSKJxLJDcg6O91K/q2//S3Jjg4kGMR0d7v7y7peWUlil50WtSKleCsr8S5d6r5G8Gi7/6i3tpaiE06g6ooV/X7udL0xwE1XKqWUGj90D9kBPPN2bnX1sNPQ+6EVi/n68tl97vdZHuZOjLC9JUpViZ9TZhx4s/WUyhD/eMrUA97XW3q1COi38XXcCQjyVZa3N/Xbn8cTCJKKdRNbn9mflR2ADJf6ORVcevNSIpVFOdf3//rXtP3xj/0+L9nWRufLL7ttjJItLSSc2l/p1amBWj+lVxHLPv5xAMIfONN+TpE9DneFrDQ3IOt47jkASk47zb3mra0l1dXlFnxt+/0fSHV04K21T9EmW9vssho7G93npAPffDzBIA0P/CLnPXrzT21wHwdnzer3PqWUUmOTBmQDMMbw6Os7ODUrqIo4AVlZyJ9TLyzbxxbVE/R5uOvSRfi9IzfFyeZmPKV2ijRfwAWZ2lfZe5zSTCJrU38ggIn1uLWuAJJt7X2ec6hEhJLyvqnefffdR8tD/+1+3btIbePXvs7WSy9zG3Un9u8ntnFj7msPEJDV3ngjNdd/lfAZywCInPVBPKEQxc6KlRuQhXNPWcbeeQdvTQ3B2Ue71/xHHUV86zaSzc2Iz0e8sZFURwe+Wru8xnuf/CQ7v3GjW8g1fPZyQiecMMCsHJhv4kTE78cqL9cTlUopNQ5pQDaA17a2sLW5iw8fl9nYHvQdeMo+dmI9a29aznFTykdyeCRaWgjOtNNX+QIugMSedECWJ2BLZMpeeIIBTHc3PVvew9/QYO+xypOy7Hj+BeK9WgANh+T+Vrc8RPf69aw/dmHOill2oAj2ClnsHTsgq7jsMvsepzF4PhWf/hSVl1/ufu2bPJlZr7xM5JyzgUxAJn6/u2qWFjrxRCRkn3yVoiK81dVuyYzQiSfaG/2NwVub2S/Y+sgjdP71eYLz51P3gx/02Zs2VGJZ+GdMJzhnziF3aFBKKXX40YBsALFEipMaKlg+bwKfXdpAyG8N+i/DdDmM2KZNOQVJD/iemzYRXbv2gPelolFMNErASV/lDbjALX6aN2XZk1WHzB8g1ROj5z07ILPC4T4py/jOnWz7/OfZcc21g/48g2GMsU9POunIPf9xKwDRVW+49/Tu1Zjc30ps40asqioqLv8cAOEPnDGk9xXLonjpUsou+QRFC+a7161IBLJOO0bOORuPE5B5q6vxFGf2DoZOzJSb8E3IPcAR37ED/1HDV9B38ve/z8R//7dhez2llFKHD93UP4Cl06tYOt1OD/3rBcfwrxcc0++9JpXKW7Lg3XPPA2DO2+sG9Z6DvT+9fyzdfDrR1M8KmbuH7AApy2AAE+2mZ18zxUuWEHv3XZKtbbT96U/EdzRSefnn2P+I3fOx92rVoUp1dEAiQbKtjURLC53/45TwsDIpYasqt6dlsqWF2Pr1BGbMwFdTw+x1bx3UypG3vLxP2QgrEnb2iNkp25LTT6f96Wfs+6uq3IDMqq7Cn3VQwuukLAFCSxbT9eLf8RQd3OGFfAJTh77PUCml1NigK2TDIPrmGt6eewxdr73e7z3Z5ST6k65xBRywdVG6aKu3pgarrCzvCliyo9M98ZfMt0KWSIDPSVkGAiRbWjCxGP6Go7AiEZJtbez/zSM033cfAG1/sFOIyc7OQX2ewUqfnEx1dNDtFG8FSLZmylKQypoPj4eOZ5+l+623KDnVrlg/nGk8T6QUT3ExtTfcwOTbvo94vXlXyIJz5uAtK3Ofl97UDzDhhhsAKDljaKt2SimljkwakA2DvT/6EQDR11/r956ezVvY8ulP0/zAA/3ek11x/0AnHJMt9qlBq7zC3tPUaw9ZKhplpxMUINInpWk3zd6Ht8JeeZJAZiXHf5QdkKXa2kg0NZHYtw+TSJDYtcveJxWP55THGKxUZyd7vn8byfbcwwLZ9cA6//4SAN6JE0nuz+xhy66M762upmfLFqyqqj69J4eDVVaGFQ5TcelniJxzDgCe4kxAlhaYNt09VAG5/SQDM2cye+0awsuWDfv4lFJKjT8akB2iVFcXnS+84HzV/ypN9PXXiK58lY6nn+7/njcye6biTkmH/qRTllaNzjFZAAAV5ElEQVR5Gb66Ono2b8n5fsezz9L+5JMA+KdN67OCFnvnHUgkCM61eydml2XwTZqEp9ReIUs2NUEqRWL3blKdne6pxO41awYcXz4df/kL++66i1035e6Dyg3IXsRXX4+/ro5k636ia9ay6ZxzSezKzIdxmrdP+JdvuitXw6n6mquZcNNNOdc8WeUxerbapyf9U6diZa2Q9T6hKdbgOi4opZRSuofsECWyquSna2SlpbJa87Q/+RQA0TVrMcbkTbFlb+aPNzYSnN23zlnv9/VWVBCcP4+O554j2dGBVVICQNfKlQBUX/cVTDRK0+13kOrqwhMK0fyLB2h58EEg08zak9UU21tdjRUpJbl/v3vyMbZpk33/7KNp9XiIZ/WBHCzjpB3bnniCSbd81w1YsgOy2FvrCC9fDskksc3vsvs733H7P/rq66m+6kq8tRNI7GsictZZQx7DYOSr82WV2ydmfXWTCZ14Ih1PP0P4A2fknJ70lJRQtHAhoSWLR2RcSimlxi8NyA6R6e52H/cOyHJWfv72N8BORca3bcM/ZUqf14pv34Gvvp74tm3EGw+wQrZvH1gWnnCYovkLwBi616wldPJJNN97Ly2/fJDiU0+l6vOfp+vVV2m6/Q723X0P1Vd/id3f/rb7Or76esA+ZZnmKS6295BlFZ5Np1M9paVYZWU53xssuzem83obN2LiCbrXvInpiefcFzx6FvHGRpKtrSSzGpwXzZ9P6YUXDvl9h4NvwgQaHn6Y4Nw5iGVx9Ksr3e95QiE72C0J0/DQgwUZn1JKqbFNU5aHKLuAaXYABllpxcrcE4LpdF+qp4fW3//e3cAfb2wkOO8YxO/PqfKeT3TNGgKzZiEeD0Xz59nX3lxNfOtW9tz6PQBCi+xipKETTiBy7rnsu+suolmb5gH3ZKgE7YAsXYPLN6U+5750zS8rUopVXk6yJfez9sekUmy/+ho6X3o5p9BsYs9emu+/n13fvplEc26XgXQqMLm/NadPp4Ry64ONtqL58/KmIT1lpSCCp8DjU0opNXZpQHaITHZA1s8KWc6qjsfjVpjfddNNNF73VaKrVmFSKRI7d+KfPBnfxInEG+2AbN8999C9YUPueyYSRN9YTei44wB7E7pvyhS6V79JbJOd3gstXkzZxRe7z6m98Rt4q6vZecM3kEAAq6KC+rvvzgwrYAdklrNJvXfaLr1CZkXCWOWDXyFLtrTQ/uSTdDz3XM4KWaKpidiGDZBI9Km475861R5HPHflbCT2iw0Hq6wMT0lJ3rInSiml1GDo3yAHafd/3Mr+R37rpiw94XCfgCzhBC2Rs5e716yKCvdEZOvvHgPsze7vfeZSTDyOd+JEvDU1JPbuJdXVxZ5bv8eWiz6a87rd69djurooOv5491rR/PlE33yTns12QFb34x/hzVqZ85aXE7ngfGLvvIOJxai8/HNuyQjInLJM74nyT89qRJ4VRHoiEbzl5e4pzwNJr3DFGxtJtne4Fe8Tu3a6e8Ni697GOyFTw8t/1FE5m+XdYRymAZm3rAxPuKTQw1BKKTWGHVYBmYh8WETuEpHficjI7NgeJs333svOG25wU5a+CbW5dbPATev5Jk1iwk03MeW+/8JbVUVib5O9Kd85LbjvZ/9J9NVX3XutsjJSrW1urTETjxPbvJl33nca3evWuacxQ8ctdN+raMF8Ert20fn3l7Cqq/K26vFlBT1WeUXO99KnLNMrZFZJphp9YPp0dyXQikSwyspJDJCy7HrlFVoefJBUV5f7GeI7d5Jqb8NXU4OnuJiula+6ddfiO3bgq8u0p/IEgznlJNKBmCdUzOEocPRsAk4LK6WUUupgjPimfhG5FzgP2GOMmZd1fTnwI8AC7jbGfNcY8yjwqIiUA98Dnhzp8R2M7KKt6UDFW1NLz+u5hWHTKUurtJTyj3/Mvq+6mkRTE9HVq/O+th2QlTob2jN7q1ofe4zE3r3sf/hhPCVhsCy8kya53w/OXwBA5/PPEzr55Lyvnb0KZVXk9tk03fbn8JT2DeQCs2dnpSwjzh6yln5Pi+6+9Xt0r15NdPWblJx+GmCvkFmRiL3CZgydL76Y85zgrKOJrnw1Mz6nhIR34kQQu7yIp+jw3KNV+/WvFXoISimlxrjRWCG7D1iefUFELOCnwNnAXOASEZmbdcuNzvcPS+nq9wCpqJ2y9NbWYrq66Hj+BbZdeRXJjg6SLS14SkvdfpFgFw9NNDUR37ot72v7Jk3CKrUDsuySGvvuvgeAtj/+iURTE1Z5eU4wFJyTKZERmD4t/2tnBWTeXgcNTNyuvO+ryVSbr7vjdiq/cAX+hkw/RikqsktAJJNua6FUNJobYKVSAERXryaxzw4qk01N9rjDYazqKvuerA3ywblzqL72Gib/8If2+GrsvpCVn70Mq9ROXx6uKUullFLqUI34Cpkx5q8i0tDr8knARmPMuwAi8hBwoYisA74L/NEYk7fsvYisAFYATMlTOmI0ZFeQjzfuADJtc3Z85Suk2ttpvv9+Env24K3ITQ16q6pI7NtHz9atdoDh9eZU5bfCYTylpZhYzN3Yb79RnOC8eXSvWUPniy9ilZXmvK6nqIia66+n+623KL3oorzj9tZmml/3TllGPvQhYhs2UHnFFe618LJlhJcto/WJ37vXRASr3A6Qki0tWJEI2790NZ0vvMDM5/+Kt7rarb8W37rVLs/hiL3zDv6GBjzO6lfRvHlu+jUwZw5lx2R6hQamTWXGX57DV1tL+zPP2p+xWAMypZRS41Oh6pBNBrKXiLYDJwNfAs4ESkVkhjHmZ72faIy5E7gTYNGiRQM3fBwh2XvFepxTjT4n2ElFowTnzaP5vvuxwmGC8+blPNdbXQXxON1r1uCrrycVjZJqayNy/vlM+u7/AezSEoBbfb/qS1dhYj2ETjqJbf/0TyR27iS0aFGfcVVe/rkBx22VlSGBACYWw9srZSl+PzXXXZf3ef6GhtzP4BRJTba0kJo40e1UEN+xww7InDZHJh6n+62sJunJJFY4jEklAQidfHImIMuzBys9p+n9cIdrylIppZQ6VIXa1J+vx5AxxvzYGHOCMeYL+YKxw0X2ila6gr1vch0AVV/4ApVXrCDV3k68sZFAr/IR6V6I0VWr8NXXuatN3spKt8ZVemN9z7vvIsEgVV/8IjVf+XJO0JJ+3lCICN4JtUgwOKT0X3bK0n5vOyBrf/Y51i841r2eXtFLdXXhnzEdgOjrr7u1zQA8kTAJpy1U0cKF1Fx/PeEPnonHn2nd1Ft6X5umLJVSSo1XhVoh2w5kVx6tAwauhHoYyS5vkQ7Iipcspv7O/6R46VK33RBA4OheAVlWA2p/Xb170tCqzKQQ0+nIns2bsSoye8W8lRUgAsZgleWucA2Wb8JEiCeG9Jx0Oyb3Mzj7z1oeesj+HFOn0rN5s9t/M9XVRXDOXHo2biLZ2krR8cfTs8l+bIUjVF97LYiH4iWLCZ9x4Obb6QBVNCBTSik1ThVqhewVYKaITBURP/AJ4LECjWXIsveQkUggfj/i9VJy2mmI14u3ogL/dHuFqHeBVSsrIPNNqcfr1NvyVmQ22acDkHhjY8518Xrdqv/pVaqhKr3gfEov+siQn1d15ZVM+He7Kbh30iSKFi4k1dpK+INnMv2Pf8ATDhNv3Inp6YF4HP/UBsQpNuutrHRTt56SEooWLGDKPXcPOgWZTuHqCplSSqnxasQDMhF5EHgROFpEtovI5caYBHAV8GdgHfArY8zagV6n12ueLyJ3tvYqxDpa0itg6fSjZDXmTitevBhPaanbKzLNP3kyxae9j+CxCyhevMQtgJqzQpZVgyv7evZ75iucOhhlF11E9ZVXDvl51V+6inKn8r+IUHnFCgDCZ30IwO0ukN7QbxUXU/L+9zvPNgSd9k7JXm2SBsM3oRYs66A/s1JKKXW4G41Tlpf0c/0PwB8O8jUfBx5ftGjR5w9lbAej/dlnaXnoQSQQsGuK7d3rth3KVv3la6n4zKf7tNMRv58pd97pfp1e6couQ5EdkHnLewdkVcTWHfwK2XAJL1tGw8O/IuicjPRNnGgXf3U29EsoxKTv3MxOy0Pk/PMJHX88sfUbKP1I/hOgA4mccw6BOXPcwwRKKaXUeFOoPWRj1vb/9UXATj16nNN/+VbIrJKSPnuv8vHW1IKIW3cLcvdK9T59mFkhyy17UQhF8+e7j32TJ9G1apW7QuYJhfAUFzP5ttvce+rvuP2g3kd8vj6pX6WUUmo80YDsICWbmrCc5t7ptkMHI3LeufgbGvDVZgqyZhd8Lf3IP+Tcnw7IDrfVIv+06aRaW+2G4eh+L6WUUmooDqteloerlocf5t0LLsQkk3iKM/0U0wVOPYG+K2SD5fH7CR1/XJ/r4eXLKfv4x/sEXm5trl4FZwuteOlSANqftLtdeYo0IFNKKaUGa0yukInI+cD5M2bMGJX32/XNfwEgvm0bOG2QSpYtc/st5ktZHqq6H/4g7/XIeechfn+fwwKF5p/agG/SJNqefArQqvpKKaXUUIzJFTJjzOPGmBWlpSO/jyq+e4/7uHv9BlLt7VSuWEH9HbfjiTgBmXf04lorHKbsoovyNvUuJBGh+JSlkLBrnGnKUimllBq8MRmQjaa2Jx53H0ffeANSKfcUpBW2N/Wni7se6dK110ADMqWUUmooxmTKcrSkOjvZd8+9FC9dQs+OHURfs/ude8L26cn0Cpnp6SnYGA8n/qw0qgZkSiml1ODpCtkAWh9/gmRzM9VXX01g5kyiq1YBuHvH0k2vNSCzZe9r00bgSiml1ODpCtkAyj52MYHp0yhauJDAtOl08DQAHidVmQ7MNCCz+evq3McyQLNwpZRSSuUakytko9U6STweQieeCIBv8mT3uuWmLO3ALNUTG9FxjBWaplRKKaUOzpgMyEbzlGWab9Ik97G7QuZU4jc9uqlfKaWUUgdvTAZkhZB3hcwpEnu4laAopPDy5fiOmlLoYSillFJjiu4hGyTfpInuY7dCf2kplV+4gsjZ5xRqWIed/graKqWUUqp/GpANkierGr8EAvafItRce22hhqSUUkqpcUJTlgdBU5RKKaWUGk4akA2Bd8KEQg9BKaWUUuPQmExZjnZz8bRpTzyBiXWP6nsqpZRSavwbkytkhSh7AWCVFOOtrBzV91RKKaXU+DcmAzKllFJKqfFEAzKllFJKqQLTgEwppZRSqsA0IFNKKaWUKjANyJRSSimlCkwDMqWUUkqpAhuTAZmInC8id7a2thZ6KEoppZRSh2xMBmSFqkOmlFJKKTUSxmRAppRSSik1nmhAppRSSilVYBqQKaWUUkoVmAZkSimllFIFpgGZUkoppVSBaUCmlFJKKVVgGpAppZRSShWYGGMKPYaDJiJ7gfdG+G2qgKYRfg+VS+d8dOl8jz6d89Gl8z26dL77d5QxpjrfN8Z0QDYaRGSlMWZRocdxJNE5H10636NP53x06XyPLp3vg6MpS6WUUkqpAtOATCmllFKqwDQgO7A7Cz2AI5DO+ejS+R59OuejS+d7dOl8HwTdQ6aUUkopVWC6QqaUUkopVWAakCmllFJKFZgGZAMQkeUisl5ENorIPxd6POOBiNwrIntEZE3WtQoReUpE3nH+LHeui4j82Jn/1SJyfOFGPnaJSL2IPCsi60RkrYhc41zXeR8BIhIUkZdF5A1nvm9yrk8VkZec+f5vEfE71wPO1xud7zcUcvxjlYhYIvK6iDzhfK3zPYJEZIuIvCkiq0RkpXNNf6ccAg3I+iEiFvBT4GxgLnCJiMwt7KjGhfuA5b2u/TPwtDFmJvC08zXYcz/T+W8FcMcojXG8SQDXGWPmAIuBK53/l3XeR0YMOMMYcyywEFguIouBW4AfOPPdAlzu3H850GKMmQH8wLlPDd01wLqsr3W+R94yY8zCrJpj+jvlEGhA1r+TgI3GmHeNMT3AQ8CFBR7TmGeM+SvQ3OvyhcD9zuP7gQ9nXf9/xvZ3oExEJo7OSMcPY8xOY8xrzuN27L+0JqPzPiKceetwvvQ5/xngDODXzvXe853+Ofwa+ICIyCgNd1wQkTrgXOBu52tB57sQ9HfKIdCArH+TgW1ZX293rqnhV2uM2Ql28ADUONf1ZzDMnPTMccBL6LyPGCd9tgrYAzwFbAL2G2MSzi3Zc+rOt/P9VqBydEc85v0Q+BqQcr6uROd7pBngSRF5VURWONf0d8oh8BZ6AIexfP9i0hoho0t/BsNIREqA3wDXGmPaBlgU0Hk/RMaYJLBQRMqA3wJz8t3m/KnzfQhE5DxgjzHmVRF5f/pynlt1vofXKcaYRhGpAZ4SkbcHuFfnfBB0hax/24H6rK/rgMYCjWW8251evnb+3ONc15/BMBERH3Yw9oAx5hHnss77CDPG7Aeew967VyYi6X8EZ8+pO9/O90vpm9ZX/TsFuEBEtmBvLTkDe8VM53sEGWManT/3YP+j4yT0d8oh0YCsf68AM52TOn7gE8BjBR7TePUYcJnz+DLgd1nXL3VO6CwGWtPL4WrwnP0x9wDrjDG3ZX1L530EiEi1szKGiBQBZ2Lv23sW+KhzW+/5Tv8cPgo8Y7Ri96AZY/63MabOGNOA/Xv6GWPMp9D5HjEiUiwi4fRj4CxgDfo75ZBopf4BiMg52P/SsoB7jTE3F3hIY56IPAi8H6gCdgPfAh4FfgVMAbYCFxtjmp1A4ifYpzK7gH80xqwsxLjHMhE5FXgeeJPMHpsbsPeR6bwPMxFZgL2h2cL+R++vjDH/JiLTsFdwKoDXgU8bY2IiEgR+jr23rxn4hDHm3cKMfmxzUpZfNcacp/M9cpy5/a3zpRf4pTHmZhGpRH+nHDQNyJRSSimlCkxTlkoppZRSBaYBmVJKKaVUgWlAppRSSilVYBqQKaWUUkoVmAZkSimllFIFppX6lVJHFBFJYpcA8WE3Xr8f+KExJjXgE5VSagRpQKaUOtJEjTELAZy2L7/Ertb+rYKOSil1RNOUpVLqiOW0fVkBXOVUEW8QkedF5DXnv6UAIvJzEbkw/TwReUBELijUuJVS448WhlVKHVFEpMMYU9LrWgswG2gHUsaYbhGZCTxojFkkIqcDXzbGfFhESoFVwExjTGLUP4BSalzSlKVSSoE4f/qAn4jIQiAJzAIwxvxFRH7qpDg/AvxGgzGl1HDSgEwpdURz+vIlgT3Y+8h2A8dib+nozrr158CnsBtYf26Uh6mUGuc0IFNKHbFEpBr4GfATY4xx0pHbjTEpEbkMu0F42n3Ay8AuY8za0R+tUmo804BMKXWkKRKRVWTKXvwcuM353u3Ab0TkYuBZoDP9JGPMbhFZBzw6yuNVSh0BdFO/UkoNgoiEsOuXHW+MaS30eJRS44uWvVBKqQMQkTOBt4H/q8GYUmok6AqZUkoppVSB6QqZUkoppVSBaUCmlFJKKVVgGpAppZRSShWYBmRKKaWUUgWmAZlSSimlVIH9f63KuYuqUKRNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 7))\n",
    "plt.ylabel('Views per Page')\n",
    "plt.xlabel('Day')\n",
    "plt.title('Twenty One Pilots Popularity')\n",
    "ax.set_yscale('log')\n",
    "\n",
    "for country in ['de','en','es','fr','ru']:\n",
    "    idx= np.where((train['Subject'] == 'Twenty One Pilots') \n",
    "                  & (train['Sub_Page'] == '{}.wikipedia.org'.format(country)) & (train['Access'] == 'all-access') & (train['Agent'] == 'all-agents'))\n",
    "                  \n",
    "    idx=idx[0][0]\n",
    "    \n",
    "    data = train.iloc[idx,0:-4]\n",
    "    handle = ax.plot(days,data.values,label=country)\n",
    "    \n",
    "\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在此代码中，我们像以前一样先设置图表。然后，我们遍历语言代码，找到Twenty One Pilots的索引。索引是包装在元组中的数组，因此我们必须提取指定实际索引的整数。然后，我们从训练数据集中提取页面浏览量数据并绘制页面浏览量。\n",
    "\n",
    "时间序列之间显然存在一些相关性。毫不奇怪，到目前为止，英语版本的Wikipedia（第一行）最受欢迎。我们还可以看到数据集中的时间序列显然不是固定的; 随着时间的推移它们会改变均值和标准偏差。\n",
    "\n",
    "平稳过程是指其无条件联合概率分布随时间保持不变的过程。换句话说，诸如系列平均值或标准偏差之类的东西应该保持不变。\n",
    "\n",
    "但是，正如您所看到的，在上图中的200-250天之间，页面上的平均观看次数发生了巨大变化。此结果破坏了许多经典建模方法所做的某些假设。但是，金融时间序列几乎从未停止过，因此值得解决这些问题。通过解决这些问题，我们熟悉了可以帮助我们处理非平稳性的几种有用工具。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [不同种类的平稳性](#content)\n",
    "\n",
    "平稳性可能意味着不同的事情，因此了解手头任务需要哪种平稳性至关重要。为简单起见，在这里我们仅讨论两种平稳性：平均平稳性和方差平稳性。下图显示了四个具有不同程度（非平稳）平稳性的时间序列：\n",
    "\n",
    "![1.2](./img/1.2.png)\n",
    "\n",
    "平均平稳性是指一系列水平是恒定的。当然，这里的单个数据点可能会偏离，但长期平均值应该是稳定的。\n",
    "\n",
    "方差平稳性是指与均值不变的方差。同样，可能存在离群值和短序列，其方差似乎更高，但总体方差应处于同一水平。\n",
    "\n",
    "第三种平稳性很难直观显示，此处未显示，它是“协方差平稳性。这是指不同滞后之间的协方差是恒定的。人们提到协方差平稳性时，通常是指均值，方差和协方差是固定的特殊条件。许多计量经济学模型（尤其是风险管理模型）都在这种协方差平稳性假设下运行。\n",
    "\n",
    "## [为什么平稳性很重要](#content)\n",
    "\n",
    "许多经典的计量经济学方法都采用某种形式的平稳性。这样做的一个关键原因是，在时间序列固定的情况下，推理和假设检验的效果更好。但是，即使从纯粹的预测角度来看，平稳性也会有所帮助，因为它会使我们的模型失去一些工作。看一下前面图表中的“不平稳”系列。您可以看到预测该系列的主要部分是要认识到该系列向上移动的事实。如果我们可以在模型之外捕捉到这一事实，则该模型必须学习更少，并且可以将其功能用于其他目的。另一个原因是，它将我们输入模型的值保持在相同范围内。请记住，在使用神经网络之前，我们需要对数据进行标准化。如果股价从1美元涨到1,000美元，我们最终将获得非标准化的数据，这反过来将使培训变得困难。\n",
    "\n",
    "## [使时间序列保持平稳](#content)\n",
    "\n",
    "在金融数据（尤其是价格）中实现平均平稳性的标准方法称为差异。它是指计算价格收益。在下面的图像中，您可以看到S&P 500的原始版本和差异版本。原始版本并不是随着价值的增长而固定不变，而差异版本几乎是固定的。\n",
    "\n",
    "![1.3](./img/1.3.png)\n",
    "\n",
    "平均平稳性的另一种方法是基于线性回归。在这里，我们将线性模型拟合到数据。statsmodels是此类经典建模的一个流行库，它具有内置的线性回归模型。下面的示例说明如何使用statsmodels从数据中删除线性趋势："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "time = np.linspace(0,10,1000)\n",
    "series = time\n",
    "series = series + np.random.rand(1000) * 0.2\n",
    "mdl = sm.OLS(time, series).fit()\n",
    "trend = mdl.predict(time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "       6.94594888, 6.95580129, 6.9656537 , 6.97550611, 6.98535852,\n",
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       "       7.04447298, 7.05432539, 7.0641778 , 7.07403021, 7.08388262,\n",
       "       7.09373503, 7.10358744, 7.11343985, 7.12329226, 7.13314467,\n",
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       "       7.29078323, 7.30063564, 7.31048804, 7.32034045, 7.33019286,\n",
       "       7.34004527, 7.34989768, 7.35975009, 7.3696025 , 7.37945491,\n",
       "       7.38930732, 7.39915973, 7.40901214, 7.41886455, 7.42871696,\n",
       "       7.43856937, 7.44842178, 7.45827419, 7.4681266 , 7.47797901,\n",
       "       7.48783142, 7.49768383, 7.50753624, 7.51738865, 7.52724106,\n",
       "       7.53709347, 7.54694588, 7.55679829, 7.5666507 , 7.57650311,\n",
       "       7.58635552, 7.59620793, 7.60606034, 7.61591275, 7.62576516,\n",
       "       7.63561757, 7.64546998, 7.65532239, 7.6651748 , 7.67502721,\n",
       "       7.68487962, 7.69473203, 7.70458444, 7.71443685, 7.72428926,\n",
       "       7.73414166, 7.74399407, 7.75384648, 7.76369889, 7.7735513 ,\n",
       "       7.78340371, 7.79325612, 7.80310853, 7.81296094, 7.82281335,\n",
       "       7.83266576, 7.84251817, 7.85237058, 7.86222299, 7.8720754 ,\n",
       "       7.88192781, 7.89178022, 7.90163263, 7.91148504, 7.92133745,\n",
       "       7.93118986, 7.94104227, 7.95089468, 7.96074709, 7.9705995 ,\n",
       "       7.98045191, 7.99030432, 8.00015673, 8.01000914, 8.01986155,\n",
       "       8.02971396, 8.03956637, 8.04941878, 8.05927119, 8.0691236 ,\n",
       "       8.07897601, 8.08882842, 8.09868083, 8.10853324, 8.11838565,\n",
       "       8.12823806, 8.13809047, 8.14794287, 8.15779528, 8.16764769,\n",
       "       8.1775001 , 8.18735251, 8.19720492, 8.20705733, 8.21690974,\n",
       "       8.22676215, 8.23661456, 8.24646697, 8.25631938, 8.26617179,\n",
       "       8.2760242 , 8.28587661, 8.29572902, 8.30558143, 8.31543384,\n",
       "       8.32528625, 8.33513866, 8.34499107, 8.35484348, 8.36469589,\n",
       "       8.3745483 , 8.38440071, 8.39425312, 8.40410553, 8.41395794,\n",
       "       8.42381035, 8.43366276, 8.44351517, 8.45336758, 8.46321999,\n",
       "       8.4730724 , 8.48292481, 8.49277722, 8.50262963, 8.51248204,\n",
       "       8.52233445, 8.53218686, 8.54203927, 8.55189168, 8.56174408,\n",
       "       8.57159649, 8.5814489 , 8.59130131, 8.60115372, 8.61100613,\n",
       "       8.62085854, 8.63071095, 8.64056336, 8.65041577, 8.66026818,\n",
       "       8.67012059, 8.679973  , 8.68982541, 8.69967782, 8.70953023,\n",
       "       8.71938264, 8.72923505, 8.73908746, 8.74893987, 8.75879228,\n",
       "       8.76864469, 8.7784971 , 8.78834951, 8.79820192, 8.80805433,\n",
       "       8.81790674, 8.82775915, 8.83761156, 8.84746397, 8.85731638,\n",
       "       8.86716879, 8.8770212 , 8.88687361, 8.89672602, 8.90657843,\n",
       "       8.91643084, 8.92628325, 8.93613566, 8.94598807, 8.95584048,\n",
       "       8.96569289, 8.9755453 , 8.9853977 , 8.99525011, 9.00510252,\n",
       "       9.01495493, 9.02480734, 9.03465975, 9.04451216, 9.05436457,\n",
       "       9.06421698, 9.07406939, 9.0839218 , 9.09377421, 9.10362662,\n",
       "       9.11347903, 9.12333144, 9.13318385, 9.14303626, 9.15288867,\n",
       "       9.16274108, 9.17259349, 9.1824459 , 9.19229831, 9.20215072,\n",
       "       9.21200313, 9.22185554, 9.23170795, 9.24156036, 9.25141277,\n",
       "       9.26126518, 9.27111759, 9.28097   , 9.29082241, 9.30067482,\n",
       "       9.31052723, 9.32037964, 9.33023205, 9.34008446, 9.34993687,\n",
       "       9.35978928, 9.36964169, 9.3794941 , 9.38934651, 9.39919891,\n",
       "       9.40905132, 9.41890373, 9.42875614, 9.43860855, 9.44846096,\n",
       "       9.45831337, 9.46816578, 9.47801819, 9.4878706 , 9.49772301,\n",
       "       9.50757542, 9.51742783, 9.52728024, 9.53713265, 9.54698506,\n",
       "       9.55683747, 9.56668988, 9.57654229, 9.5863947 , 9.59624711,\n",
       "       9.60609952, 9.61595193, 9.62580434, 9.63565675, 9.64550916,\n",
       "       9.65536157, 9.66521398, 9.67506639, 9.6849188 , 9.69477121,\n",
       "       9.70462362, 9.71447603, 9.72432844, 9.73418085, 9.74403326,\n",
       "       9.75388567, 9.76373808, 9.77359049, 9.7834429 , 9.79329531,\n",
       "       9.80314772, 9.81300013, 9.82285253, 9.83270494, 9.84255735])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![1.4](./img/1.4.png)\n",
    "值得强调的是，平稳性是建模的一部分，应该只适用于训练集。差分不是一个大问题，但可能导致线性去趋势问题。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "消除方差非平稳性更加困难。一种典型的方法是计算一些滚动方差，然后将新值除以该方差。在训练集上，您还可以对数据进行学习。为此，您需要计算每日方差，然后将所有值除以其根。同样，您只能对训练集执行此操作，因为方差计算需要您已经知道值。\n",
    "\n",
    "## [何时忽略平稳性问题](#content)\n",
    "\n",
    "有时候您不应该担心平稳性。预测突然的变化时，例如所谓的结构性断裂。在Wikipedia示例中，我们有兴趣知道何时开始访问网站的频率比以前高得多。在这种情况下，消除水平差异会阻止我们的模型学习预测此类变化。同样，我们可能能够轻松地将非平稳性纳入我们的模型中，或者可以在pipline的后期阶段确保它。我们通常只在整个数据集的一小部分子序列上训练神经网络。如果我们对每个子序列进行标准化，则子序列内均值的移动可能会忽略不计，我们不必为此担心。预测比推理和假设测试要宽容得多，因此，如果我们的模型可以在这样的数据上进行预测，那么我们可能会摆脱一些不稳定的问题。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [快速傅立叶变换](#content)\n",
    "\n",
    "我们经常想计算的关于时间序列的另一个有趣的统计数据是傅立叶变换（FT）。无需进行数学运算，傅立叶变换将向我们显示函数中特定频率内的振荡量。\n",
    "\n",
    "您可以像老式FM收音机上的调谐器那样想象。转动调谐器时，您会搜索不同的频率。每隔一段时间，您会发现一个频率，可为您清楚地显示特定广播电台的信号。傅立叶变换基本上扫描整个频谱，并记录在哪个频率上有强信号。就时间序列而言，这在尝试查找数据中的周期性模式时很有用。\n",
    "\n",
    "想象一下，我们发现每周有一个频率会给我们一个强有力的模式。这意味着对一周前同一天的流量的了解将有助于我们的模型。\n",
    "\n",
    "当函数和傅立叶变换都是离散的时（在一系列日常测量中就是这种情况），它称为离散傅立叶变换（DFT）。一种用于计算DFT的非常快速的算法称为快速傅立叶变换（FFT），今天它已成为科学计算中的重要算法。数学家卡尔·高斯（Carl Gauss）于1805年就知道了这一理论，但美国数学家詹姆斯·W·库利（James W. Cooley）和约翰·图基（John Tukey）于1965年才发现这一理论。\n",
    "\n",
    "傅立叶变换的工作方式和原因超出了本章的范围，因此在本节中，我们仅作简要介绍。想象一下我们作为电线的功能。我们将这根导线缠绕并缠绕在一个点上，如果缠绕该导线以使该点周围的转数与信号的频率匹配，则所有信号峰值将位于极点的一侧。这意味着导线的质心将远离我们缠绕导线的位置。\n",
    "\n",
    "在数学上，可以通过将函数g(n乘以 $e^{-2 \\pi i f n}$ 来将函数环绕在点上，其中f是环绕的频率，n是序列中项的编号，i是虚数的平方根-1。不熟悉虚数的读者可以将它们视为坐标，其中每个数都有一个包含实数和虚数的二维坐标。\n",
    "\n",
    "为了计算质心，我们对离散函数中的点坐标进行平均。因此，DFT公式如下：\n",
    "\n",
    "$$\n",
    "y[f]=\\sum_{n=0}^{N-1} e^{-2 \\pi i \\frac{f n}{N}} x[n]\n",
    "$$\n",
    "\n",
    "\n",
    "这里y[f]是变换后的序列中的第f个元素，而x[n]是输入序列x中的第n个元素。N是输入序列中的总点数。请注意，y[f]将是一个包含实元素和离散元素的数字。\n",
    "\n",
    "要检测频率，我们只对y[f]的整体幅度感兴趣。为了获得此大小，我们需要计算虚部和实部的平方和的根。在Python中，我们不必担心所有的数学运算，因为我们可以使用scikit-learn的fftpack，它内置了FFT函数。\n",
    "\n",
    "下一步是运行以下代码："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = train.iloc[:,0:-4]\n",
    "fft_complex = fft(data)\n",
    "fft_mag = [np.sqrt(np.real(x) * np.real(x) + np.imag(x) * np.imag(x)) for x in fft_complex]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这里，我们首先从训练集中提取没有全局特征的时间序列测量值。然后我们运行FFT算法，最后算出变换幅度。\n",
    "\n",
    "运行该代码后，我们现在对所有时间序列数据集进行了傅里叶变换。为了使我们能够更好地了解傅立叶变换的一般行为，我们可以通过简单地运行它们来对它们进行平均："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "arr = np.array(fft_mag)\n",
    "fft_mean = np.mean(arr, axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这首先将幅度转换为NumPy数组，然后计算平均值。我们要计算每个频率的平均值，而不仅仅是所有幅度的平均值，因此我们需要指定获取平均值的轴。\n",
    "\n",
    "在这种情况下，序列数据是按行堆叠的，因此采用列平均（轴零）将导致频率均值。为了更好地绘制变换图，我们需要创建一个测试频率列表。频率的格式为：每天数据集中的天/全天，因此1 / 550、2 / 550、3 / 550等。要创建列表，我们需要运行："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "fft_xvals = [day / fft_mean.shape[0] for day in range(fft_mean.shape[0])]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在此可视化中，我们只关心每周范围内的频率范围，因此我们将删除转换的后半部分，我们可以通过运行以下操作来做到这一点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "npts = len(fft_xvals) // 2 + 1\n",
    "fft_mean = fft_mean[:npts]\n",
    "fft_xvals = fft_xvals[:npts]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "最后，我们可以绘制变形图："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 7))\n",
    "ax.plot(fft_xvals[1:],fft_mean[1:])\n",
    "plt.axvline(x=1./7,color='red',alpha=0.3)\n",
    "plt.axvline(x=2./7,color='red',alpha=0.3)\n",
    "plt.axvline(x=3./7,color='red',alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "正如您在我们生成的图表中所看到的那样，峰值大约为1/7（0.14），2/7（0.28）和3/7（0.42）。由于一周有7天，因此，频率为每周一次，每周两次和每周3次。换句话说，页面统计信息每周（大约）重复一次，因此，例如，一个星期六的访问量与上一个星期六的访问量相关。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [自相关](#content)\n",
    "\n",
    "自相关是由给定间隔分隔的序列中两个元素之间的相关性。直观地，例如，我们假设有关上一步的知识有助于我们预测下一步。但是从两个时间步长之前或从100个时间步长之前的知识怎么样？\n",
    "\n",
    "运行autocorrelation_plot将绘制具有不同滞后时间的元素之间的相关性，并可以帮助我们回答这些问题。事实上，pandas附带了一个方便的自相关绘图工具。要使用它，我们必须传递一系列数据。在我们的例子中，我们传递了随机选择的页面浏览量。\n",
    "\n",
    "我们可以通过运行以下代码来做到这一点："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pandas.plotting import autocorrelation_plot\n",
    "\n",
    "autocorrelation_plot(data.iloc[110])\n",
    "plt.title(' '.join(train.loc[110,['Subject', 'Sub_Page']]))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上图中的图表显示了中文维基百科内韩国女孩团体Oh My Girl的维基百科页面的页面浏览量的相关性。\n",
    "\n",
    "您可以看到1到20天之间的较短时间间隔显示出比较长的时间间隔更高的自相关。同样，也有奇怪的高峰，例如约120天和280天。每年，每季度或每月发生的事件有可能导致访问“Oh My Girl”维基百科页面的频率增加。\n",
    "\n",
    "我们可以通过绘制1,000个这些自相关图来检查这些频率的一般模式。为此，我们运行以下代码："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/super/opt/anaconda3/lib/python3.7/site-packages/pandas/plotting/_matplotlib/misc.py:414: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  return ((data[: n - h] - mean) * (data[h:] - mean)).sum() / float(n) / c0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = np.random.choice(data.shape[0], 1000)\n",
    "for i in a:\n",
    "    autocorrelation_plot(data.iloc[i])\n",
    "plt.title('1K Autocorrlations')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此代码段首先从0到我们数据集中的序列数之间的1,000个随机数采样，在我们的案例中约为145,000。我们使用这些索引作为索引，从我们的数据集中随机采样行，然后为其绘制自相关图，可以在上图中看到它。\n",
    "\n",
    "如您所见，不同系列的自相关可能会大不相同，并且图表中存在很多噪声。在350天左右，似乎也有一个总体趋势，即更高的相关性。\n",
    "\n",
    "因此，将年度滞后页面浏览量作为与时间相关的功能以及将一年时间间隔的自相关作为全局功能是有意义的。对于季度和半年的延迟也是如此，因为它们似乎具有很高的自相关性，有时甚至是非常负的自相关性，这也使其很有价值。\n",
    "\n",
    "时间序列分析（例如前面显示的示例）可以帮助我们设计模型的功能。从理论上讲，复杂的神经网络可以自己发现所有这些特征。但是，通常可以更轻松地为他们提供一些帮助，尤其是在提供有关长时间的信息时。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# [建立训练和测试](#content)\n",
    "\n",
    "即使有大量可用数据，我们也必须问自己；我们如何在训练，验证和测试之间划分数据。该数据集已经附带了将来数据的测试集，因此我们不必担心测试集，但是对于验证集，有两种拆分方法：前向拆分和并排拆分：\n",
    "\n",
    "![1.5](./img/1.5.png)\n",
    "\n",
    "前向切分，我们将训练所有145,000个序列数据。为了验证这一点，我们将使用所有序列数据的最新数据。在并排拆分中，我们对序列数据进行采样以进行训练，然后将其余序列用于验证。\n",
    "\n",
    "两者都有优点和缺点。前向拆分的缺点是我们不能将序列的所有观测值用于我们的预测。并排拆分的缺点是我们不能使用所有序列进行训练。\n",
    "\n",
    "如果我们只有几个序列，但是每个序列有多个数据观测值，则最好采用前向拆分。但是，如果我们有很多序列，但每个序列的观测很少，则最好并排拆分。\n",
    "\n",
    "建立训练和测试制度也更符合当前的预测问题。在并排拆分中，模型可能会过度拟合预测期内的全局事件。想象一下，维基百科在并排拆分所使用的预测期内下降了一周。此事件将减少所有页面的视图数，结果该模型将过度适合此全局事件。\n",
    "\n",
    "我们不会在我们的验证集中发现过拟合现象，因为预测期也将受到全球事件的影响。但是，在我们的情况下，我们有多个时间序列，但是每个序列只有约550个观测值。因此，在该时间段内似乎没有全球性事件会严重影响所有Wikipedia页面。\n",
    "\n",
    "但是，有些全球性事件会影响某些页面的浏览量，例如冬季奥运会。但是，在这种情况下这是一个合理的风险，因为受此类全局事件影响的页面数量仍然很小。由于我们有大量的序列并且每个序列只有几个观测值，因此在我们的情况下并排拆分更可行。\n",
    "\n",
    "在本章中，我们着重于预测50天的流量。因此，我们必须首先将每个序列的最后50天与其余序列分开，如以下代码所示，然后再拆分训练和验证集："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X = data.iloc[:, :5000]\n",
    "y = data.iloc[:,500:]\n",
    "\n",
    "X_train, X_val, y_train, y_val = train_test_split(X.values, y.values, test_size=0.1, random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "拆分时，我们使用X.values仅获取数据，而不获取包含数据的DataFrame。拆分之后，我们剩下130,556序列用于训练，而14,507用于验证。\n",
    "\n",
    "在此示例中，我们将使用平均绝对百分比误差（MAPE）作为损失和评估指标。如果y的真值为零，则MAPE可能会导致被零除的错误。因此，为了防止出现被零除的情况，我们将使用小值的epsilon："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mape(y_true, y_pred):\n",
    "    eps = 1\n",
    "    err = np.mean(np.abs((y_true - y_pred) / (y_true + eps)) * 100)\n",
    "    return err"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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